Question

Algebra question ( Matrices and Determinants ) 20 points

Answer 1

The correct answer is option A

The answer is as following 
The new matrix is 2 rows and 2 columns . i.e. it is 2*2 matrix
The element a₁₁ =5*2 + 0*2 = 10
The element a₁₂ = 5*-1 + 0*-2 = -5
The element a₂₁ = 3*2 +-5*2 = -4
The element a₂₂ = 3*-1 + -5*-2 = 7

The new matrix will be $\left[\begin{array}{ccc}10&-5\\-4&7\end{array}\right]$