3 and 4 .Determinants and Matrices
easy

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

C

Non-singular

D

Singular

Solution

(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.

Standard 12
Mathematics

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