Which one of the following is not correct. |
Every non-singular square matrix has an inverse. Every diagonal matrix is a symmetric matrix Every symmetric matrix is a square matrix Every square matrix is a diagonal matrix. |
Every square matrix is a diagonal matrix. |
The correct answer is Option (4) → Every square matrix is a diagonal matrix. Let us assume a square matrix. $\begin{bmatrix}2&3&4\\5&0&6\\6&0&0\end{bmatrix}_{33×3}$ ⇒ This is a square matrix but not an diagonal matrix. |