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If an m by n matrix A multiplies an n-dimensional vector x, how many separate

Chapter 1, Problem 1.4.4

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QUESTION:

If an m by n matrix A multiplies an n-dimensional vector x, how many separate multiplications are involved? What if A multiplies an n by p matrix B?

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QUESTION:

If an m by n matrix A multiplies an n-dimensional vector x, how many separate multiplications are involved? What if A multiplies an n by p matrix B?

ANSWER:

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Multiplication of Matrix: Any given matrix can only be multiplied with other matrix if and only if the column number of first matrix is same as that of number of row of the second matrix.

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