Question

if a 3 x 5 matrix is multiplied by a 5 x 7 matrix what is the order of the product?

Answer 1

SOLUTION

GIVEN

A 3 x 5 matrix is multiplied by a 5 x 7 matrix

TO DETERMINE

The order of the product

EVALUATION

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

FINAL ANSWER

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7

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Answer 2

Step-by-step explanation:

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