Which one of the following statements is true - Vidyadip

MCQ

Which one of the following statements is true

A
Non- singular square matrix does not have a unique inverse
B
Determinant of a non-singular matrix is zero
✓
If $A' = A,$then $A$ is a square matrix
D
If $|A|\, \ne 0$, then $|A.adj\,A|\, = \,|A{|^{(n - 1)}}$, where $A = {[{a_{ij}}]_{n \times n}}$

✓

Answer

Correct option: C.

If $A' = A,$then $A$ is a square matrix

c
(c) If $A' = A$, then order of $A'$ will be same to order of $A$ . So it is a square matrix.

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