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Matrix A has 3 rows and 2 columns. Matrix multiplication AB cannot be done if matrix B hasa.2 rows and 1 columnb.2 rows and 3 columnsc.3 rows and 3 columnsd.2 rows and 4 columns

Question

Matrix A has 3 rows and 2 columns. Matrix multiplication AB cannot be done if matrix B hasa.2 rows and 1 columnb.2 rows and 3 columnsc.3 rows and 3 columnsd.2 rows and 4 columns

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Solution

Matrix multiplication is possible only when the number of columns in the first matrix (Matrix A) is equal to the number of rows in the second matrix (Matrix B).

Given that Matrix A has 3 rows and 2 columns, let's evaluate each option:

a. 2 rows and 1 column - This is possible because the number of columns in Matrix A (2) is equal to the number of rows in Matrix B (2).

b. 2 rows and 3 columns - This is also possible because the number of columns in Matrix A (2) is equal to the number of rows in Matrix B (2).

c. 3 rows and 3 columns - This is not possible because the number of columns in Matrix A (2) is not equal to the number of rows in Matrix B (3).

d. 2 rows and 4 columns - This is possible because the number of columns in Matrix A (2) is equal to the number of rows in Matrix B (2).

So, the matrix multiplication AB cannot be done if Matrix B has 3 rows and 3 columns.

This problem has been solved

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