Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

Which one of the following is not correct.

Options:

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.

Correct Answer:

Every square matrix is a diagonal matrix.

Explanation:

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.