If A - - a 0 0- 0 a 0- 0 0 a - then the value of -A-adj A- is ak-What is k-

A=[ a amp; 0 amp; 0; 0 amp; a amp; 0; 0 amp; 0 amp; a ] adj A=[ a ^ 2 amp; 0 amp; 0; 0 amp; a ^ 2 ...

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Addition and Subtraction of a Matrix

If A = [ a ...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & a & 0 0 & 0 & a \end{matrix} ⎤ ⎥ ⎦$ , then the value of $| A | | a d j A |$ is $a^{k}$ .
What is k?

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A = ⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & a & 0 0 & 0 & a \end{matrix} ⎤ ⎥ ⎦

| a d j A |

a^{k}

A = ⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & a & 0 0 & 0 & a \end{matrix} ⎤ ⎥ ⎦

| A | | a d j A |

⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & a & 0 0 & 0 & a \end{matrix} ⎤ ⎥ ⎦

| A | | A d j A |

A

3

| a d j A | = {| A |}^{k}

k

k

a_{k} = cos (\frac{k π}{7}) + i sin (\frac{k π}{7})

\frac{12 \sum k = 1 | a_{k + 1} - a_{k} |}{3 \sum k = 1 | a_{4 k - 1} - a_{4 k - 2} |}

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