If `A=[{:(1,2),(4,-3):}]` and `f(x)=2x^(3)+4x+5`, find f(A).

Explanation

To solve the question, we need to find \( f(A) \) where \( A = \begin{pmatrix} 1 & 2 \\ 4 & -3 \end{pmatrix} \) and \( f(x) = 2x^3 + 4x + 5 \).

### Step 1: Calculate \( A^2 \)

To find \( A^3 \), we first need to calculate \( A^2 \):

\[
A^2 = A \times A = \begin{pmatrix} 1 & 2 \\ 4 & -3 \end{pmatrix} \times \begin{pmatrix} 1 & 2 \\ 4 & -3 \end{pmatrix}
...