If A- 1 0 2- 0 2 1- 2 0 3 - P-T A 3 -6 A 2 -7A-2I-0-

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

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Inverse of a Matrix

If A=[ 1 0 ...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 2 0 & 2 & 1 2 & 0 & 3 \end{matrix} ⎤ ⎥ ⎦$ . P.T $A^{3} - 6 A^{2} + 7 A + 2 I = 0$ .

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A^{3} - 6 A^{2} + 7 A + 2 I = 0

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 2 0 & 2 & 1 2 & 0 & 3 \end{matrix} ⎤ ⎥ ⎦$ , prove that $A^{3} - 6 A^{2} + 7 A + 2 I = 0.$

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