If the orders of the matrices Q,R,and S are 4 × 5,3 × 2,and 5 × 3,respectively,then the order of QRS is
A) 4 × 5.
B) 3 × 5.
C) 3 × 3.
D) 2 × 4.
E) none of the above

Question

Quizplus · Accepted Answer

The order of the product of matrices depends on the inner dimensions matching and the outer dimensions determining the order of the result. For QRS, Q is 4x5, R is 3x2, and S is 5x3. The multiplication Q(RS) is considered. RS is possible with R being 3x2 and S being 5x3, but since the inner dimensions (2 and 5) do not match, RS cannot be computed. Therefore, QRS cannot be determined based on the given orders, making all provided options incorrect.

If the Orders of the Matrices Q,R,and S Are 4