If A = [ * 20 c 1&0&1 0&1&1 1&0&0 ], then A is - Vidyadip

MCQ

If $A = \left[ {\begin{array}{*{20}{c}}1&0&1\\0&1&1\\1&0&0\end{array}} \right]$, then $A$ is

A
Symmetric
B
Skew-symmetric
✓
Non-singular
D
Singular

✓

Answer

Correct option: C.

Non-singular

c
(c) $\Delta = \left[ {\begin{array}{*{20}{c}}1&0&1\\0&1&1\\1&0&0\end{array}} \right] = - 1 \ne 0$, hence matrix is non-singular.

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