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 [tex] \left[\begin{array}{ccc}10&-5\\-4&7\end{array}\right] [/tex]