Let $A = [a_{ij}]_{n×n}$ be a matr

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

Let $A = [a_{ij}]_{n×n}$ be a matrix. Then

Match List-I with List-II

List-I	List-II
(A) $A^T = A$	(I) A is a singular matrix
(B) $A^T = -A$	(II) A is a non-singular matrix
(C) $\|A\| = 0$	(III) A is a skew symmetric matric
(D) $\|A\| ≠ 0$	(IV) A is a symmetric matric

Choose the correct answer from the options given below:

Options:

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

(A)-(I), (B)-(II), (C)-(IV), (D)-(III)

Correct Answer:

(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Explanation:

The correct answer is Option (2) → (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

List-I	List-II
(A) $A^T = A$	(IV) A is a symmetric matric
(B) $A^T = -A$	(III) A is a skew symmetric matric
(C) $\|A\| = 0$	(I) A is a singular matrix
(D) $\|A\| ≠ 0$	(II) A is a non-singular matrix