Question

Which matrix multiplication is defined based on the rules of matrix algebra?

A) A matrix with dimensions 3x2 multiplied by a matrix with dimensions 2x3.
B) A matrix with dimensions 2x3 multiplied by a matrix with dimensions 3x2.
C) A matrix with dimensions 3x2 multiplied by a matrix with dimensions 3x2.
D) A matrix with dimensions 2x3 multiplied by a matrix with dimensions 2x3.

Select the option that correctly represents a valid matrix multiplication according to the defined rules.""

Answer 1

The matrix multiplication defined based on the rules of matrix algebra is option B) A matrix with dimensions 2x3 multiplied by a matrix with dimensions 3x2.

Step-by-step explanation:

The matrix multiplication defined based on the rules of matrix algebra is option B) A matrix with dimensions 2x3 multiplied by a matrix with dimensions 3x2.

In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. This allows the matrices to be multiplied according to the defined rules.

For example, if matrix A has dimensions 2x3 and matrix B has dimensions 3x2, the resulting matrix C will have dimensions 2x2.