Question

If $A^{-1}=\left[\begin{array}{ccc}1& -1& 0\\ 0& -2& 1\\ 0& 0& -1\end{array}\right]$, then

• A. $|A|=2$
• B. A is non-singular
• C. Adj.A $=\left[\begin{array}{ccc}1/2& -1/2& 0\\ 0& -1& 1/2\\ 0& 0& -1/2\end{array}\right]$
• D. A is skew symmetric matrix

Answer 1

Answer: (B), (C)

Correct answer is (b) A is non-singularCorrect answer is (c) Adj.A $=\left[\begin{array}{ccc}1/2& -1/2& 0\\ 0& -1& 1/2\\ 0& 0& -1/2\end{array}\right]$