if A = [[2, 3] [4, 7]] B = [[1, 3] [- 2, 5]] find 2A+3B-5I where I is identiy Matrix of order

\(A = \begin{bmatrix} 2 & 3 \\[0.3em] 4 & 7 \\[0.3em] \end{bmatrix}\), \(B = \begin{bmatrix} 1 & 3 \\[0.3em] -2 &5 \\[0.3em] \end{bmatrix}\), \(I = \begin{bmatrix} 1 & 0 \\[0.3em] 0 & 1 \\[0.3em] \end{bmatrix}\)

Now,

2A + 3B - 5I = \( 2\begin{bmatrix} 2 & 3 \\[0.3em] 4 & 7 \\[0.3em] \end{bmatrix}\)+ \( 3\begin{bmatrix} 1& 3 \\[0.3em] -2 & 5 \\[0.3em] \end{bmatrix}\) - \( 5\begin{bmatrix} 1& 0 \\[0.3em] 0 & 1 \\[0.3em] \end{bmatrix}\)

= \( \begin{bmatrix} 4+3-5 & 6+9 \\[0.3em] 8-6 & 14+15-5 \\[0.3em] \end{bmatrix}\)

= \( \begin{bmatrix} 2 & 15 \\[0.3em] 2 &24 \\[0.3em] \end{bmatrix}\)