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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