Question

Is it possible to multiply the following matrix

[-6 1] x [2 3 6]
[-1 -6] [-4 -1 0]

Answer 1

Matrix A is 2x2. The dimensions are in the form m x n where m = 2 and n = 2
Matrix B is 2x3. The dimensions are in the form p x q where p = 2 and q = 3

Question: is A*B possible or defined?
Answer: Yes because the inner dimensions n and p are equal. If n = p was false, then we'd have a mismatch and matrix multiplication is not possible.

Final Answer: Yes

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Side Note: B*A is not possible since (p x q) * (m x n) turns into (2x3)*(2x2). The inner dimensions q = 3 and m = 2 don't match up. The order of matrix multiplication is important.