Algebra 2.........................

Question

For S2x4 and T4x3, what are the dimensions of ST?

 

A) 2x3

B) 4x4

Answer 1

Matrix S has 2 rows and 4 columns.

Matrix T has 4 rows and 3 columns.

 

ST means that we are cross multiplying the matrices.  There is a rule for multiplying 2 matrices.  The number of columns in the first matrix must be equal to the number rows in the second matrix. 

 

The two matrices fit the condition. 

 

The dimensions of ST is   2 x 3