Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

# Algebra: Matrices and types of Matrices

Question:

Which of the following statements are true?

A. A square matrix A is said to be non-singular If |A| = 0
B. A square matrix A is invertible if and only if A is non-singular matrix.
C. If elements of a row are multiplied with cofactors of any other row, then their sum is zero.
D. A is square matrix of order 3 then |Adj.(A)| = |A|3

Choose the correct answer from the options given below

Options:

A and C only

B and C only

C and D only

B and D only

Correct Answer:

B and C only

Explanation:

A. → false       A is non singular if |A| ≠ 0

B. → true   ,   C. → true

D. → false      |Adj (A)| = |A|2