Question

Consider the following statements related to a matrix:
A. Inverse of a matrix is unique if it exists.
B. A matrix \(A\) is non-singular if \(|A|=0\).
C. Matrix \[ A=\begin{pmatrix} \cos x & \sin x -\sin x & \cos x \end{pmatrix} \] is orthogonal.
D. Matrix \[ A=\begin{pmatrix} 0 & -2 & -8 2 & 0 & -4 8 & -4 & 0 \end{pmatrix} \] is skew symmetri
C.

• A. A, B, C Only
• B. A, C, D Only
• C. A, C Only
• D. A, D Only

Hint:

A non-singular matrix has non-zero determinant, and an orthogonal matrix satisfies \(AA^T=I\).

Answer 1

The Correct Option is C