3- -2 If A is a non singular matrix of order 3 and 1 - 7- then lad Due that on-11- ton-11-131 -

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3, if >2 If A is a non singular matrix of order 3 and 1 = 7, then find lad Due that on-11), ton-11.-131 |

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If $$A=\begin{bmatrix} 3 & -1+x & 2 \\ 3 & -1 & x+2 \\ x+3 & -1 & 1 \end{bmatrix}$$ is singular matrix and $$x\in \left[ -5,-2 \right]$$ then $$x=_______$$

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If A, B are square matrices of order 3, A is non-singular and AB = O, then B is a
(a) null matrix
(b) singular matrix
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(d) non-singular matrix

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Statement-1 : If

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

, then

a d j (a d j A) = A

Statement -2 :

| a d j (a d j A) | = | A |^{(n - 1)^{2}}

, where A is a n-rowed non-singular square matrix

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A

' is non-singular square matrix of order 3 then

| a d j (A^{3}) |

equals

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if 'A' is non - singular square matrix of order 3, then

∣ ∣ a d j (A^{3}) ∣ ∣

equals

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