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Mathematics
If A-1=[1 -1 0 0 -2 1 0 0 -1], then
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Q. If $A^{-1}=\begin{bmatrix}1 & -1 & 0 \\ 0 & -2 & 1 \\ 0 & 0 & -1\end{bmatrix}$, then
Matrices
A
$|A|=2$
B
A is non-singular
C
Adj.A $=\begin{bmatrix}1 / 2 & -1 / 2 & 0 \\ 0 & -1 & 1 / 2 \\ 0 & 0 & -1 / 2\end{bmatrix}$
D
A is skew symmetric matrix
Solution:
Correct answer is (b) A is non-singularCorrect answer is (c) Adj.A $=\begin{bmatrix}1 / 2 & -1 / 2 & 0 \\ 0 & -1 & 1 / 2 \\ 0 & 0 & -1 / 2\end{bmatrix}$