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in Linear Equations by (49.9k points)
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If A = \( \begin{pmatrix} 1&2 \\ 4 &-3 \end{pmatrix}\) and ƒ(x) = 2x2 – 4x + 5 then ƒ(A) = ?

A. \( \begin{pmatrix} 19&-32 \\ -16 &51 \end{pmatrix}\)

B.\( \begin{pmatrix} 19&-16 \\ -32 &51 \end{pmatrix}\)

C.\( \begin{pmatrix} 19&-11 \\ -27 &51 \end{pmatrix}\)

D. None of these

1 Answer

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Best answer

ƒ(A) = 2A2 – 4A + 5

A2\( \begin{pmatrix} 1&2 \\ 4 &-3 \end{pmatrix}\)\( \begin{pmatrix} 1&2 \\ 4 &-3 \end{pmatrix}\)

\( \begin{pmatrix} 9&-4 \\ -8 &17 \end{pmatrix}\)

ƒ(A) = 2A2 – 4A + 5I

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