text If - A - Segin bmatrix 1 - 0 -211-2 -2 - 2 13 - 4 - 1such that A -1- p A 2- q A - rI- then p - q - r -A- 1-0-2B- 1-1-3C- -1-1-5D- -1-6- 0- 5-6

The correct options are D ( 16,0,56 ) nbsp;A^2= [ 5 amp; 8 amp; 4; 8 amp; 12 amp; 2; 2 amp; 4 amp; 3 nbsp; ] A^3= [ 1 amp; ...

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Addition and Subtraction of a Matrix

text If ∼ A =...

Question

$If A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & - 2 - 2 & - 2 & 2 3 & 4 & 1 \end{matrix} ⎤ ⎥ ⎦$
such that $A^{- 1} = p A^{2} + q A + r I,$ then $(p, q, r) =$

(1, 0, 2)

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(1, - 1, - 3)

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(- 1, 1, 5)

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(- \frac{1}{6}, 0, \frac{5}{6})

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Similar questions

If A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & - 2 - 2 & - 2 & 2 3 & 4 & 1 \end{matrix} ⎤ ⎥ ⎦

A^{- 1} = p A^{2} + q A + r I,

(p, q, r) =

A = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 0 0 & 0 & 1 p & q & r \end{matrix} ⎤ ⎥ ⎦

p I + q A + r A^{2} =

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 2 & 4 & 1 2 & 3 & 1 \end{matrix} ⎤ ⎥ ⎦, B = [\begin{matrix} 2 & 3 3 & 4 \end{matrix}]

P

B P A = [\begin{matrix} 1 & 0 & 1 0 & 1 & 0 \end{matrix}]

P =

[\begin{matrix} k & m & n p & - q & r \end{matrix}]

(k + m + n + p + q + r)

P = [\begin{matrix} \sqrt{3} / 2 & 1 / 2 - 1 / 2 & \sqrt{3} / 2 \end{matrix}], A = [\begin{matrix} 1 & 1 0 & 1 \end{matrix}] and Q = P A P^{T}, then P^{T} Q^{2005} P is

A = [a_{i j}]

3 \times 3

a_{i j} = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} (\frac{i + j}{2}) + \frac{| i - j |}{2}, & i f i \neq j \frac{i^{j} - (i . j)}{i^{2} + j^{2}}, & i f i = j \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭

a_{i j}

i^{t h}

j^{t h}

A = p A^{2} - q A^{- 1} - r I

(p + q + r)^{11}

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