If I multiply two numbers, say 3 3 and 5 5, I know it means add 3 3 to itself 5 5 times or add 5 5 to itself 3 3 times. But If I multiply two matrices, what does it mean ? I mean I can't think it in terms of repetitive …

Here is an answer directly reflecting the historical perspective from the paper Memoir on the theory of matrices By Authur Cayley, 1857. This paper is available here. This paper is credited with "containing …

Apr 13, 2015 · So I have two matrixes with different sizes. Multiple sources tell me that I can't do multiplication or addition with matrix of different sizes. So I'm a bit confused. Can I do it with these? …

Mar 6, 2015 · The standard manner I would use to multiply matrices is the dot operator; i.e. A.B; which should do the correct thing. I'm not sure why it would take so long to compute.

Yo, I need some help with understanding matrix multiplication by columns. Consider the two matrices: ⎛⎝⎜1 6 7 2 5 8 3 4 9⎞⎠⎟⎛⎝⎜3 4 9 2 5 8 1 6 7 ...

Feb 20, 2017 · 1 I'm studying linear algebra using the online MIT course, and in the third lecture, the professor showed us 5 ways to multiply matrices, they can be found here: MIT Linear Algebra, …

I know how to multiply matrices but I don't understand this notation : cij = ∑n k=1aikbkj c i j = ∑ k = 1 n a i k b k j Can someone explain what that represents by giving me an example?

Matrix multiplication is associative, so you can do it in whichever order you like. You can prove it by writing the matrix multiply in summation notation each way and seeing they match.

Nov 26, 2023 · 6 Is matrix multiplication a binary operation, where you can't multiply 3 matrices simultaneously and A⋅ B⋅ C is defined as (A⋅ B)⋅ C or A⋅ (B⋅ C)?

If attention is restricted to real-valued (non-singular square invertible) matrices, then an appropriate question and some answers are found in Polar decomposition of real matrices. Especially the …