An n × m matrix, when multiplied by an n × m matrix, yields A)an n × m matrix. B)an m × n matrix. C)an n² × m² matrix. D)These matrices cannot be multiplied.

Question

Quizplus · Accepted Answer

For matrix multiplication to be possible, the number of columns in the first matrix must equal the number of rows in the second matrix. Since both matrices are n × m, this condition is not met, and thus they cannot be multiplied.

An N × M Matrix, When Multiplied by an N