Which of the answer choices has matrix multiplication defined?

b. BC

Step-by-step explanation:

The first thing is to calculate the dimensions of each matrix, that is, the number of rows x number of columns:

dimensions of A: 2x2

B dimensions: 2x3

C dimensions: 3x3

D dimensions: 1x3

 We have that a matrix multiplication is defined, the internal numbers of its dimensions must be the same: we analyze each option:

BA: (2x3) * (2x2): the internal numbers do not match (a 3 for B and a 2 for A), so the multiplication of the matrix is not defined

BC: (2x3) * (3x3): the internal numbers are both 3, so the matrix multiplication is defined

CB: (3x3 ) * (2x3): the internal numbers do not match (a 3 for C and a 2 for B), so the multiplication of the matrix is not defined

CD: (3x3) * (1x3): the internal numbers do not match (a 3 for C and a 1 for D) so the multiplication of the matrix is not defined

Therefore the answer is b. BC

step-by-step explanation:

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