Drew Werbowski
Drew Werbowski
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Відео

How to Determine if a Set of Vectors is Linearly Independent (Easy Explanation)
Переглядів 5121 годину тому
Let's look at the logic behind the linear independence test and why it actually makes sense!
Finding Basis of Kernel and Range of a Linear Transformation - Linear Algebra
Переглядів 12 тис.11 місяців тому
What is a Kernel and Range of a linear transformation? How do we compute these and find their respective basis? This video aims to answer these questions.
How to Find the Intersection of Planes - Linear Algebra
Переглядів 2,7 тис.11 місяців тому
We use Gaussian elimination to solve a system of equations that gives us the equation of a line that represents the intersection between 2 planes.
Shortest Distance Between a Line and a Plane - Linear Algebra
Переглядів 3,4 тис.11 місяців тому
Let's look at what the shortest distance might be between a line and a plane in R3!
How to Find the Shortest Distance from a Point to a Line - Linear Algebra
Переглядів 3,2 тис.11 місяців тому
Finding the shortest distance from a given point to a line given the vector equation. Very common question in MATH 115: Linear Algebra for Engineering at University of Waterloo.
How to Use Squeeze Theorem to Solve a Limit - Calculus 1
Переглядів 32511 місяців тому
We go over a midterm/final level limits question that uses squeeze theorem to solve a limit. Professors will often throw curve balls at you on evaluations to test how well you really understand a concept. This question is great for testing your understanding of inequalities and squeeze theorem.
Limits that Approach Negative Infinity - Calculus 1
Переглядів 37211 місяців тому
We solve the limit of a rational function that approaches negative infinity using 2 approaches. It's easy to get the sign wrong on these questions, so I hope this video clears up this common mistake!
How to Simplify an Equation to a Single General Cosine Function
Переглядів 86Рік тому
We are given an expression with multiple trig functions and asked to simplify it into a general cosine function. This video will make you understand what you are doing and not memorize a process!
How to Simplify an Equation to a Single General Sine Function
Переглядів 169Рік тому
Simplifying an expression with multiple trig functions into a single sine function. It's as easy as using a quick trig identity and solving a system of 2 equations!
How to Solve Inequalities with Absolute Value - Calculus 1
Переглядів 76Рік тому
Absolute values can be hard to understand. I hope this video clears things up with how to approach an ugly question which combines inequalities and absolute values. If you can do this, you can ace your exam!
How to Solve Inequalities with Logarithms - Calculus 1
Переглядів 80Рік тому
In this video we solve an inequality that contains multiple logarithm terms. These questions are more difficult to understand and you must consider the domain of the logarithms as well! Great question to test your understanding of inequalities, logarithms, and how prepared you would be if this were to appear on a midterm or final exam!
Proof by Contradiction Using Rolle's Theorem - Calculus 1 Example
Переглядів 233Рік тому
Proving a function cannot have 2 real roots using Rolle's Theorem and proof by contradiction. Disclaimer: I have an engineering degree, not a math degree. Math majors feel free to nit pick the rigour of this proof!
Rolle's Theorem Easy Explanation and Examples - Calculus 1
Переглядів 52Рік тому
Brief explanation of Rolle's Theorem and how to apply it to a couple examples!
Solids of Revolution - Calculus (Disc and Cylindrical Shell Method)
Переглядів 259Рік тому
In this video, we construct two integrals for the volume of a solid revolved about a horizontal line.
Proving a Transformation is Linear - Linear Algebra
Переглядів 4,5 тис.Рік тому
Proving a Transformation is Linear - Linear Algebra
Subspace Test and Finding Bases for Polynomial and Matrix Vector Spaces
Переглядів 2,5 тис.Рік тому
Subspace Test and Finding Bases for Polynomial and Matrix Vector Spaces
Subspace Test for Intersection, Union, and Sum of Subspaces - Linear Algebra
Переглядів 1,9 тис.Рік тому
Subspace Test for Intersection, Union, and Sum of Subspaces - Linear Algebra
How to Simplify a Span of Vectors - Linear Independence - Linear Algebra
Переглядів 1,5 тис.Рік тому
How to Simplify a Span of Vectors - Linear Independence - Linear Algebra
Markov Chains Detailed Example (Easy Explanation) - Linear Algebra
Переглядів 933Рік тому
Markov Chains Detailed Example (Easy Explanation) - Linear Algebra
How to Approximate Using Differentials - Calculus
Переглядів 271Рік тому
How to Approximate Using Differentials - Calculus
How to Solve Linear Matrix Equations - Linear Algebra
Переглядів 263Рік тому
How to Solve Linear Matrix Equations - Linear Algebra
Proving a Limit Exists with Delta and Epsilon Definition of a Limit
Переглядів 306Рік тому
Proving a Limit Exists with Delta and Epsilon Definition of a Limit
How to Find Complex Roots Using DeMoive's Theorem - Linear Algebra
Переглядів 520Рік тому
How to Find Complex Roots Using DeMoive's Theorem - Linear Algebra
How to Convert a Complex Number from Polar Form to Standard Form - Linear Algebra
Переглядів 1,9 тис.Рік тому
How to Convert a Complex Number from Polar Form to Standard Form - Linear Algebra
How to Convert a Complex Number from Standard Form to Polar Form - Linear Algebra
Переглядів 1,4 тис.Рік тому
How to Convert a Complex Number from Standard Form to Polar Form - Linear Algebra
What is Polar Form of a Complex Number - Linear Algebra
Переглядів 178Рік тому
What is Polar Form of a Complex Number - Linear Algebra
How to Apply Squeeze Theorem - Example - Calculus 1
Переглядів 387Рік тому
How to Apply Squeeze Theorem - Example - Calculus 1
How to Divide Complex Numbers - Linear Algebra
Переглядів 174Рік тому
How to Divide Complex Numbers - Linear Algebra
How to Take the Square Root of Complex Number - Linear Algebra
Переглядів 265Рік тому
How to Take the Square Root of Complex Number - Linear Algebra

КОМЕНТАРІ

  • @The-Jam-Jar
    @The-Jam-Jar 5 днів тому

    babe wake up drew werbowski uploaded again

  • @phiwokwakhepho1922
    @phiwokwakhepho1922 5 днів тому

    Good video,but can I ask something. Since the definition of a bases states that not only must the list be linearly independent but must also span the entire vector space. How do we prove that or is it not necessary for this proof?

    • @DrewWerbowski
      @DrewWerbowski 4 дні тому

      Yes, you’re right that we need to prove both the vectors are linearly independent and that they span the entire vector space the vectors are a basis for. There are multiple ways to show this and it depends on the question. I believe I have a video on my channel highlighting an example

    • @phiwokwakhepho1922
      @phiwokwakhepho1922 3 дні тому

      ​@@DrewWerbowskiOkay I'll check it out, thanks for this one I learnt a great technique from it.

  • @alphakitsune5934
    @alphakitsune5934 7 днів тому

    Hi Drew! I'm Victor. Good video that I totally understood

  • @ToxicBuugenJar
    @ToxicBuugenJar 7 днів тому

    😂😂😂🥶🥶🥶🥶🥶😮😮😮😮😮🤯🤯🤯

  • @The-Jam-Jar
    @The-Jam-Jar 7 днів тому

    babe wake up drew werbowski just uploaded

  • @wakey2703
    @wakey2703 9 днів тому

    Why do you use j instead of i for the imaginary unit?

    • @DrewWerbowski
      @DrewWerbowski 7 днів тому

      In engineering some professors use lowercase j to avoid being confused with another parameter such as electrical current

    • @wakey2703
      @wakey2703 7 днів тому

      @@DrewWerbowski thanks

  • @rynakiqbal
    @rynakiqbal 11 днів тому

    You are such an amazing teacher!

  • @atwb2287
    @atwb2287 19 днів тому

    bro! You are my hero,It's a pity that I discovered this channel too late, I have an exam this afternoon.

  • @sevdedundar2334
    @sevdedundar2334 29 днів тому

    thank you so much.....

  • @islamicprincess4820
    @islamicprincess4820 Місяць тому

    So why nulity is 1?

  • @islamicprincess4820
    @islamicprincess4820 Місяць тому

    i have a question here basis of kernal is empty then.it has no dimension..means zero dimension.but dimension.of Kernal equals nulity so here we seee nulity is 1

  • @joesraccoon7507
    @joesraccoon7507 Місяць тому

    Thanks bro you actually saved me

  • @gypsycatcher1822
    @gypsycatcher1822 Місяць тому

    fantastic job

  • @joshuacarter5849
    @joshuacarter5849 Місяць тому

    3 years later and Drew, sir you are amazing. Thank you so much, you are a life saver!!!

  • @YourFriendlyOfficeAssistant
    @YourFriendlyOfficeAssistant Місяць тому

    Why is it -x(-sin(x)) at 4:01, not -xsin(x)?

  • @pipertripp
    @pipertripp Місяць тому

    Nice, succinct explanation. I just wanted to confirm what an Eigenspace is and this was the perfect video. Didn't need to wade through a 20 minute exposition on all things "Eigen" to get there. Cheers!

  • @abenezersolomonsh9265
    @abenezersolomonsh9265 Місяць тому

    Good

  • @vespass225
    @vespass225 Місяць тому

    Nice. A tip for the future, start off with the most central, interesting and motivating information, namely drawing the shortest distance from point P( 3,3,1), and from the start telling that the closest distance must be a line perpendicular to line L. THEN you construct the vector equations that gives you that sought vector ( the perpendicular one ) and the distance along it from 3,3,1 to the line.

  • @VolumetricTerrain-hz7ci
    @VolumetricTerrain-hz7ci 2 місяці тому

    There are unknown way to visualize subspace, or vector spaces. You can stretching the width of the x axis, for example, in the right line of a 3d stereo image, and also get depth, as shown below. L R |____| |______| TIP: To get the 3d depth, close one eye and focus on either left or right line, and then open it. This because the z axis uses x to get depth. Which means that you can get double depth to the image.... 4d depth??? :O p.s You're good teacher!

  • @aarongamerpro-_-4379
    @aarongamerpro-_-4379 2 місяці тому

    thank you, it helps me with my classwork. Blessings. : )

  • @buirabxs
    @buirabxs 2 місяці тому

    Why all of you guys placing vectors in matrix column by column you just do smth strange not RREF I mean you placed x x x y y y z z z Instead of x y z x y z x y z when you RREF second one you substract and adding some vectors to find depended once But actually thing that you did here seems to me wrong because you adding and substracting whole xs or whole ys or whole zs of different vectors WTF math always worked by logic,am i wrong or your solution is wrong,can someone explain

  • @AsandeGumede-yx9vc
    @AsandeGumede-yx9vc 2 місяці тому

    youre so good man!

  • @nomadnuggets716
    @nomadnuggets716 2 місяці тому

    Thank you

  • @sk-Muhammadi
    @sk-Muhammadi 2 місяці тому

    When you want to teach any concept, solve problem for generic values not for specific values.

  • @teslayt940
    @teslayt940 2 місяці тому

    👍

  • @ctamai
    @ctamai 2 місяці тому

    This video is by far the most thorough and best explanation. I love that Drew does a short review before solving the problem. He makes it so easy to understand the concept.

    • @DrewWerbowski
      @DrewWerbowski 2 місяці тому

      Thank you so much for the kind words!

  • @lawsoneveritt1776
    @lawsoneveritt1776 2 місяці тому

    cramming for an exam right now, ive watched tons of videos and read the entire textbook chapter, nothing helped me understand the topic better than this video. you are a godsend, i know this video is old but thank you so much!

    • @DrewWerbowski
      @DrewWerbowski 2 місяці тому

      So glad I could help! Hope your exam went well

  • @FarheenQureshi-ei9jv
    @FarheenQureshi-ei9jv 2 місяці тому

    best explanation of topic .... finally i understood the topic ... it is simple but our teacher make it very hard.

  • @jorgerodriguezsilva6364
    @jorgerodriguezsilva6364 2 місяці тому

    you made the most clear drawing of a linear algebra problem I have ever seen, it makes everything so much clearer to be able to understand which line, vector or plane is which, thank you

  • @starmist1691
    @starmist1691 2 місяці тому

    Bro left us and now we're stuck with mrs frost again- (Also the only other person in the comments ik is Michael- im suprised i havent seen anyone else ik) How many eggs could fit into a microwave 👨‍🦲

  • @sccur
    @sccur 2 місяці тому

    Your channel saved my butt for studying for a final.

    • @kkshav_
      @kkshav_ 2 місяці тому

      asu?

    • @sccur
      @sccur 2 місяці тому

      @@kkshav_ wsu

  • @nasseral-bess564
    @nasseral-bess564 2 місяці тому

    There are two different topics I was trying to learn today and I was looking all over the internet for videos/clear explainations. Your channel is the only one with good videos in these topics. I really appreciate this. Thanks man I hope you make it big!

  • @maxpercer7119
    @maxpercer7119 3 місяці тому

    11:22 I think there is a mistake, it should be the span of {v1, v2, v3, v3} = span {v1, v2} , not span {v1, v2, v3 } = span v1, v2, since there are four vectors we started with in Col(A).

    • @syedabubaker1389
      @syedabubaker1389 2 місяці тому

      It was an example {v1, v2, v3, v3} = span {v1, v2} stands correct due to {v1, v2, v3 } = span {v1, v2} being correct

  • @maxpercer7119
    @maxpercer7119 3 місяці тому

    interesting you say that applying a linear transformation is 'shifting space'. So that is one way to think about it, as a mapping between two spaces , the departure space and the arrival space, or as transformation of the departure space. A linear transformation is equivalent to matrix multiplication, and for the null space we are looking for solutions to A*x = 0 , where x is an n x 1 matrix of "solutions" and A is a given m x n matrix. When x varies you have a map from R^n -> R^m , defined by x -> A * x .

  • @GeorgeHuang-ws2rf
    @GeorgeHuang-ws2rf 3 місяці тому

    drew im michael from f8f pls respond

  • @Shsnaiaahnahia
    @Shsnaiaahnahia 3 місяці тому

    my fav content creator drew werbowski

  • @Shsnaiaahnahia
    @Shsnaiaahnahia 3 місяці тому

    next upload when

  • @tristangray-lapara6724
    @tristangray-lapara6724 3 місяці тому

    Savior

  • @JimmyRojas-iq2wg
    @JimmyRojas-iq2wg 3 місяці тому

    You talk way too much, I just need the example

  • @GOKU_BLACK_100
    @GOKU_BLACK_100 3 місяці тому

    AWESOME EXPLANATION 🌟

  • @wither8542
    @wither8542 3 місяці тому

    thank you so much for making this video! :) I was wondering if you could possibly explain one-to-one and onto?

  • @KaterinaKozmin
    @KaterinaKozmin 4 місяці тому

    what is there is a free variable in the reduced form?

    • @Jaylan...
      @Jaylan... 3 місяці тому

      For the Kernal you set the free variables of rref equal to t, s, r... , solve for each vector in terms of these, giving the span of the nul space aka kernal. For the Range you'd use the rref pivots/leading 1's , use only the corresponding columns from the original matrix, that should be your answer. Cool vid btw :)

  • @tony-hz4gg
    @tony-hz4gg 4 місяці тому

    Bro you're a goat I never comment but u made everything so much easier to understand than the other tutors who just yap about definitions, but you explain the intuition. Love it def gonna start watching u more for linear.

    • @DrewWerbowski
      @DrewWerbowski 2 місяці тому

      Thank you so much for your comment. Are there any linear algebra topics you would like to see?

    • @Ahmed-yo7gb
      @Ahmed-yo7gb 2 місяці тому

      ​@@DrewWerbowski Determine if U is or not a subspace with justification. Finding eigenvectors and eigenvalues and diagonalization. Gram-Schmidt Orthogonalization Algorithm and computing a projection Finding a basis for a vector space Finding the matrix that describes the linear transformation (9.1). Least Squares Approximation Singular Value Decomposition Proof of an important Theorem

    • @DrewWerbowski
      @DrewWerbowski 2 місяці тому

      @@Ahmed-yo7gb thank you for the comprehensive list! Many of those topics I already have videos on my channel, but I will add some of the others to my list

  • @samiulhaqtaj5807
    @samiulhaqtaj5807 4 місяці тому

    Good boy

  • @Mini_Wolf.
    @Mini_Wolf. 4 місяці тому

    Tysm

  • @AbdullahGoraya-fk2kg
    @AbdullahGoraya-fk2kg 4 місяці тому

    good job nerd, i actually learnt something

  • @henrytzuo8517
    @henrytzuo8517 4 місяці тому

    THANK YOU!!😀😀😀

  • @user-kx8du3js7f
    @user-kx8du3js7f 4 місяці тому

    Great video! Thanks

  • @user-kx8du3js7f
    @user-kx8du3js7f 4 місяці тому

    Thanks! You do just a great job of explaining this!

  • @titaniumx5471
    @titaniumx5471 4 місяці тому

    explained it better than my prof and my textbook combined. appreciate it man thank you