If - A - begin bmatrix 180 1182lend bmatrix - then A - 2-A- 2 A -3 IB- 3 A -2 IC- 3 A -2 ID- 2 A -3 I

The correct option is B 3A 2IA=[ 1 amp;0; 1 amp;2 ] A^2=[ 1 amp;0; 1 amp;2 ][ 1 amp;0; 1 amp;2 ]=[ 1 amp;0; 3 amp;4 ] 3A 2I=3[ ...

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Scalar Matrix

If $ A = begi...

Question

If $A = [\begin{matrix} 1 & 0 1 & 2 \end{matrix}]$ , then $A^{2} =$

2 A - 3 I

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3 A - 2 I

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3 A + 2 I

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2 A + 3 I

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A

3 \times 3

A^{3} + 3 A^{2} - 2 A = 0

A^{- 1}

A = [\begin{matrix} 3 & - 4 5 & 2 \end{matrix}] & B = [\begin{matrix} 1 & 3 5 & 8 \end{matrix}],

3 A - 5 B + 4 I

[\begin{matrix} 1 & 2 - 2 & 9 \end{matrix}]

2 a + 6 b - 3 (a + 3 b)^{2}

2 a + 6 b - 3 (a + 3 b)^{2}

= 2 (a + 3 b) - 3 (a + 3 b)^{2} [T a k i n g 2 c o m m o n f r o m 2 a + 6 b]

= (a + 3 b) {\begin{matrix} 2 - 3 (a + 3 b) \end{matrix}} [T a k i n g (a + 3 b) c o m m o n]

= (a + 3 b) (2 - 3 a - 9 b)

I f t h e m a t r i x A = ⎡ ⎢ ⎣ \begin{matrix} 2 & 1 & 1 0 & 1 & 0 1 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦ t h e n A^{8} - 5 A^{7} + 7 A^{6} - 3 A^{5} + A^{4} - 5 A^{3} + 8 A^{2} - 2 A + I w i l l b e

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