This video seems to be a little long but the content it is dealing with is fairly complex! But I take the time to break it down to make it much, much simpler. Please, take a look and let me know what you think by leaving a comment below. Thanks so much for watching!
You are more than welcome. Thanks for taking the time in leaving a comment. I'm glad you found it helpful. Please spread the word about my channel if you could
Hi Maffs Guru, I'm completely new to your channel. This video was really interesting, but I just have a quick question. I was recently busy with a maths question in which there was a function f(x) = 4^x, f^-1(x) = log4(x) and h(x) = 4^-x and the question was to describe in words a single transformation from f^-1(x) to h(x). I soon realized that I could cleverly use matrix transformations to solve this problem, of which the solution was a 90* rotation anticlockwise about the origin, however, I soon realized that I had a problem. When I calculated the composite matrix of the matrix transformation of the reflection about the line y=x followed by the matrix transformation of the reflection about the y-axis, the answer was different to if I had done it the other way around. The one answer was correct, which as I had mentioned was a 90* rotation anticlockwise about the origin, but the other was a 90* clockwise rotation about the origin. But clearly only one of them is correct. How would I know in the future the correct order to multiply these matrix transformations out such that the composite matrix that I get is always correct? I understand that order matters, but it completely baffles me how doing a reflection about the line y=x first as opposed to a reflection about the y-axis leads to a different answer, which it logically shouldn't. Please help. I can't sleep not knowing the solution to my problem and my maths teacher is unable to help me.
Hi Cole. I'm going to have to read what you've written a few times and then think about it!!! But will do what I can to get back to you. Can you let me know where the question is that you're trying to answer? If I can see the question, then I have a better chance of trying to give you decent help. Please keep sleeping!!!! If you want to email me the question then I think my email address is on my website www.maffsguru.com
You are more than welcome. Thanks so much for taking the time in making a comment. I hope you found the video really useful. Perhaps you can help by telling other people about my channel and associated website (www.maffsguru.com)
This video seems to be a little long but the content it is dealing with is fairly complex! But I take the time to break it down to make it much, much simpler. Please, take a look and let me know what you think by leaving a comment below. Thanks so much for watching!
Thanks a lot.This has helped me a lot.
You are more than welcome. Thanks for taking the time in leaving a comment. I'm glad you found it helpful. Please spread the word about my channel if you could
Thank you, subbed :)
Thanks so much! Please spread the word about my channel if you would :)
Thanks a bunch, this was really helpful!
You are more than welcome. Thanks for taking the time in leaving me a comment
Hi Maffs Guru, I'm completely new to your channel. This video was really interesting, but I just have a quick question. I was recently busy with a maths question in which there was a function f(x) = 4^x, f^-1(x) = log4(x) and h(x) = 4^-x and the question was to describe in words a single transformation from f^-1(x) to h(x). I soon realized that I could cleverly use matrix transformations to solve this problem, of which the solution was a 90* rotation anticlockwise about the origin, however, I soon realized that I had a problem. When I calculated the composite matrix of the matrix transformation of the reflection about the line y=x followed by the matrix transformation of the reflection about the y-axis, the answer was different to if I had done it the other way around. The one answer was correct, which as I had mentioned was a 90* rotation anticlockwise about the origin, but the other was a 90* clockwise rotation about the origin. But clearly only one of them is correct. How would I know in the future the correct order to multiply these matrix transformations out such that the composite matrix that I get is always correct? I understand that order matters, but it completely baffles me how doing a reflection about the line y=x first as opposed to a reflection about the y-axis leads to a different answer, which it logically shouldn't.
Please help. I can't sleep not knowing the solution to my problem and my maths teacher is unable to help me.
Hi Cole. I'm going to have to read what you've written a few times and then think about it!!! But will do what I can to get back to you. Can you let me know where the question is that you're trying to answer? If I can see the question, then I have a better chance of trying to give you decent help. Please keep sleeping!!!! If you want to email me the question then I think my email address is on my website www.maffsguru.com
@@MaffsGuru Hi, Maffs Guru. Thanks for replying, but I just figured it out. Thanks, though.
@@coleabrahams9331 Phew! I feel like I dodged a bullet there lol. Glad to hear you worked it out. What did you need to do?
Thanks Darren
You are more than welcome. Thanks so much for taking the time in making a comment. I hope you found the video really useful. Perhaps you can help by telling other people about my channel and associated website (www.maffsguru.com)