If A - - 1 2 3- -2 3 -1- 3 1 2- - and I is a unit matrix of 3rd order- then-A2 - 9I equals

A = [ 1 amp;2 amp;3; 2 amp;3 amp; 1; 3 amp; 1 amp; 2; ]⇒ A.A = A^2 = [ 6 amp;11 amp;7; 11 amp;4 amp; 11; ...

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Byju's Answer

Standard XI

Mathematics

Multiplication of Matrices

If A = [ 1 2 ...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 - 2 & 3 & - 1 3 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦$ and I is a unit matrix of $3^{r d}$ order, then
$(A^{2} + 9 I)$ equals

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None of these

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Solution

The correct option is D None of these
$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 - 2 & 3 & - 1 3 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦ \Rightarrow A . A = A^{2} = ⎡ ⎢ ⎣ \begin{matrix} 6 & 11 & 7 - 11 & 4 & - 11 7 & 11 & 12 \end{matrix} ⎤ ⎥ ⎦,$
$I = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ , then, $A^{2} + 9 I = ⎡ ⎢ ⎣ \begin{matrix} 15 & 11 & 7 - 11 & 13 & - 11 7 & 11 & 21 \end{matrix} ⎤ ⎥ ⎦ .$

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Similar questions

Q. If

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

, and

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is the unit matrix of order

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A^{2} + 9 I

is equal to

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 - 2 & 3 & - 1 3 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦$ and I is a unit matrix of $3^{r d}$ order, then $(A^{2} + 9 I)$ equals

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and I is a unit matrix of

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(A^{2} + 9 I)

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If A=⎡⎢⎣123−23−1312⎤⎥⎦ and I is a unit matrix of 3rd order, then ​(A2+9I) equals

The correct option is D None of theseA=⎡⎢⎣123−23−1312⎤⎥⎦⇒A.A=A2=⎡⎢⎣6117−114−1171112⎤⎥⎦, I=⎡⎢⎣100010001⎤⎥⎦, then, A2+9I=⎡⎢⎣15117−1113−1171121⎤⎥⎦.

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 - 2 & 3 & - 1 3 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦$ and I is a unit matrix of $3^{r d}$ order, then
$(A^{2} + 9 I)$ equals