If A-2 I-0- find A if the order of I is 2 - 2

A + 2I = 0 A = 2I = 2[ 1 amp;0; 0 amp;1 ] =[ 2 amp;0; 0 amp; 2 ] ...

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Inverse of a Matrix

If A+2 I=0, f...

Question

If A + 2I = 0, find A if the order of I is 2 $\times$ 2.

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Solution

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A = [\begin{matrix} 4 & 2 - 1 & 1 \end{matrix}]

i x^{2} - 2 (i + 1) x + (2 - i) = 0

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I = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

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A^{2} = k A - 2 I

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(i, j)

2 \times 2

A

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3 A - 2 B = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

A^{2} + 2 I = 3 A

(A - 2 I) (A - 3 I) = 0

A = [\begin{matrix} 4 & 2 - 1 & x \end{matrix}]

I = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

x

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