Question

Wondering what 2B×A would be since B is a 3×3 and A is 2×3, which does not have the same middle number to multiply them.

a. 6×3 Matrix
b.2×2 Matrix
c.3×2 Matrix
d. Not Mentioned

Answer 1

Since matrix B has 3 columns and matrix A has 3 rows, they cannot be multiplied by each other; thus, the result is 'Not Mentioned'.

Step-by-step explanation:

The multiplication of matrices requires that the number of columns in the first matrix matches the number of rows in the second matrix. Since B is a 3×3 matrix and A is a 2×3 matrix, their dimensions do not align for multiplication (3×2 being the respective rows and columns). Therefore, 2B × A is not a valid matrix multiplication operation and falls under option (d) Not Mentioned.