What Matrices Can You Multiply?

A matrix can be multiplied by any other matrix that has the same number of rows as the first has columns. I.E. A matrix with 2 columns can be multiplied by any matrix with 2 rows.

Can you multiply a 2x3 and 2x2 matrix?

Multiplication of 2x2 and 2x3 matrices is possible and the result matrix is a 2x3 matrix.

What kind of matrices can you not multiply?

Matrix A and B below cannot be multiplied together because the number of columns in A ≠ the number of rows in B. In this case, the multiplication of these two matrices is not defined. Matrix C and D below cannot be multiplied.

David Miller

David Miller

Executive Financial & Market Analyst

David Miller brings 15 years of experience in global economics, personal finance strategy, and market dynamics. He specializes in turning complex economic trends into actionable insights for everyday readers.