An n × n matrix, when multiplied by an n × n matrix, yields A)an n × n matrix. B)a 2n matrix. C)an n² + n² matrix. D)an (n × n)² matrix.

Question

Quizplus · Accepted Answer

When two n × n matrices are multiplied, the resulting matrix will also be an n × n matrix. This is because each element in the resulting matrix is obtained by taking the dot product of a row from the first matrix and a column from the second matrix, resulting in a scalar value that will be placed in the corresponding element in the resulting matrix. Since there are n rows and n columns in both matrices, the resulting matrix will also have n rows and n columns.

An N × N Matrix, When Multiplied by an N