Question

If \( A = \begin{pmatrix} 1 & -2 4 & 5 \end{pmatrix} \); \( f(t) = t^2 - 3t + 7 \) then \( f(A) + \begin{pmatrix 3 & 6 -12 & -9 \end{pmatrix} = \)}

• A. \( \begin{pmatrix} 0 & 1 1 & 0 \end{pmatrix} \)
• B. \( \begin{pmatrix} 1 & 1 0 & 0 \end{pmatrix} \)
• C. \( \begin{pmatrix} 0 & 0 0 & 0 \end{pmatrix} \)
• D. \( \begin{pmatrix} 1 & 0 0 & 1 \end{pmatrix} \)

Hint:

For matrix polynomials, substitute \(A\) carefully and compute step-by-step using matrix multiplication.

Answer 1

The Correct Option is C