Hi, I need some help with proofs. Can someone help me with proving all the prope

Question

Hi, I need some help with proofs.

Can someone help me with proving all the properties of Matrix Multiplication without using Sigma notation? (using the i row and j column).
I am having a lot of trouble with prove question
I just need it for studying for exam so its not a homework.

Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are defined.

a. A(BC) = (AB)C
b. A(B+C) = AB+AC
c. (B+C)A = BA+BC
d. r(AB) = r(A)B = A(rB) for any scalar r
e. Im A = A In = A

Thank you so much for your help. I really appreciate it !

Explanation / Answer

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