If A - - 1 2 1- 0 1 -1- 3 -1 1 - then

[ 1 amp; 2 amp; 1; 0 amp; 1 amp; 1; 3 amp; 1 amp; 1 ] A^2 = A.A = [ 1 amp; 2 amp; 1; 0 amp; 1 amp; 1; 3 amp; 1 ...

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Multiplication of Matrices

If A = [ 1 2 ...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 1 0 & 1 & - 1 3 & - 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ , then

$A^{3} + 3 A^{2} + A - 9 I_{3} = 0$

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$A^{3} - 3 A^{2} + A + 9 I_{3} = 0$

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$A^{3} + 3 A^{2} - A + 9 I_{3} = 0$

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$A^{3} - 3 A^{2} - A + 9 I_{3} = 0$

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Similar questions

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 1 0 & 1 & - 1 3 & - 1 & 1 \end{matrix} ⎤ ⎥ ⎦

A^{2} - A =

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 1 0 & 1 & - 1 3 & - 1 & 1 \end{matrix} ⎤ ⎥ ⎦

A^{3} - 3 A^{2} - A + 9 I

A = ⎡ ⎢ ⎣ \begin{matrix} 5 & 8 & 1 0 & 2 & 1 4 & 3 & - 1 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 2 - 1 3 \end{matrix} ⎤ ⎥ ⎦

A X = B

X

A = [\begin{matrix} 2 & - 1 3 & - 2 \end{matrix}],

A^{5} =

[\begin{matrix} 5 & x & 1 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 2 - 1 3 \end{matrix} ⎤ ⎥ ⎦ = (20)

x

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