Question

If the trace of A is 5 then find the trace of 5A

Answer 1

Answer:

The answer is 25.

Step-by-step explanation:

Concept : Let A be a square matrix, if a scaler number k is multiplied to the matrix A, then all the elements of A are multiplied by k, since trace of matrix is sum of all the main diagonal elements.

                      $\Rightarrow \text{trace}(kA)=k\text{ trace} (A)$

      Therefore $\text{trace}(5A)=5(\text{trace} (A))=5(5)=25$