A is false: a determinant is a number, not a matrix. B is true: standard property of adjoint. C is true: product of nonsingular matrices is nonsingular. D is false: nonsingular means inverse exists. So B and C are true.
Read the following statements carefully: A. Determinant is a square matrix B. If A be any given square matrix of order n, then A( adjA) = ( adjA)A =…
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
Read the following statements carefully:
A. Determinant is a square matrix
B. If A be any given square matrix of order n, then A(adjA)=(adjA)A=∣A∣I.
C. If A and B are nonsingular matrices of the same order, then AB and BA are also nonsingular matrices of the same order.
D. If A is a nonsingular matrix, then its inverse does not exist
Which of the above statements are true?
Choose the correct answer from the options given below:
Official previous-year question
Held on 16 Jul 2022 · Verified 13 Jul 2026.
Options
- A
B and C only
- B
C and D only
- C
A and C only
- D
B and D only
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