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Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.

Determine if the product CA is defined. If the product is defined, state its dimensions-example-1

1 Answer

5 votes

Answer:

The product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Explanation:

Matrix multiplication

To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.

If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).

Matrix A has two rows and three columns (2x3)

Matric C has three rows and two columns (3x2)

If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.

Since both numbers are 2, the product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

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