7:00; If you were wondering how translating a grid to another can be understood, 3Blue1Brown has a great series intuitively explaining linear algebra (including matrix multiplication). A matrix is actually defined by its property that it translates a set of vectors (base vectors of a coördinate system or 2 vectors in that system) onto another coördinate system. Matrices are not just a computational trick. Notice how multiplying the set of the two base vectors [1, 0; 0, 1] with a random 2x2 matrix gives back that same matrix. This is becouse matrices are defined this way. a b x 1 0 = a b c d 0 1 c d Main video: ua-cam.com/video/kYB8IZa5AuE/v-deo.html Playlist on linear algebra: ua-cam.com/play/PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab.html
Brilliant video's thank you very much. I'm studying Aerospace at Liverpool Uni and can see this topic being combined with our MatLab module to solve the matrices.
Very good videos on finite element! I learn more in you ~15 minute videos then I do in a 2 hours lecture! It is a shame you don't have more videos on this topic. your other videos are great too!
Dear Sir Your lectures are marvolous i just wanna ask that which Finite element method or analysis book do you prefer or you think is best for you and especially for the students who are learning this powerful technique Thanks
7:00; If you were wondering how translating a grid to another can be understood, 3Blue1Brown has a great series intuitively explaining linear algebra (including matrix multiplication). A matrix is actually defined by its property that it translates a set of vectors (base vectors of a coördinate system or 2 vectors in that system) onto another coördinate system. Matrices are not just a computational trick.
Notice how multiplying the set of the two base vectors [1, 0; 0, 1] with a random 2x2 matrix gives back that same matrix. This is becouse matrices are defined this way.
a b x 1 0 = a b
c d 0 1 c d
Main video:
ua-cam.com/video/kYB8IZa5AuE/v-deo.html
Playlist on linear algebra:
ua-cam.com/play/PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab.html
very well explained...
Brilliant video's thank you very much. I'm studying Aerospace at Liverpool Uni and can see this topic being combined with our MatLab module to solve the matrices.
Very good videos on finite element! I learn more in you ~15 minute videos then I do in a 2 hours lecture! It is a shame you don't have more videos on this topic. your other videos are great too!
Dear Sir
Your lectures are marvolous
i just wanna ask that
which Finite element method or analysis book do you prefer
or you think is best for you and especially for the students who are learning this powerful technique
Thanks