(A) ∣A′∣=∣A∣ is true. (B) For 3×3, ∣4A∣=43∣A∣=64∣A∣, true. (D) det(A−1)=1/det(A), true.
(C) Correct relation is ∣adjA∣=∣A∣n−1, not ∣A∣=∣adjA∣n−1. False.
So (A), (B), (D) only.
CUET UG 2023 — Mathematics Algebra
Which of the following statements are correct ?
(A) ∣A′∣=∣A∣, where A is the transpose of matrix A
(B) If A=[aij]3×3, then ∣4A∣=64∣A∣
(C) ∣A∣=∣adj A∣n−1, where n is the order of the matrix
(D) If A is an invertible matrix of order 2, then det(A−1) is equal to det(A)1
Choose the correct answer from the options given below :
Held on 22 May 2023 · Verified 13 Jul 2026.
(A), (B), (D) Only
(A), (C) Only
(A), (B), (C) Only
(A), (D) Only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
If $A = [a_{ij}]$ be square matrix of order 3, such that $a_{ij} = i + j$, $\forall i, j$ then which of the following are correct? (A) A is a skew-symmetric matrix. (B) A is a non-singular matrix. (C) The inverse of A does not exist. (D) A is a symmetric matrix. Choose the correct answer from the options given below:
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by $f(x) = \frac{x}{x^2+1}$ is (where $\mathbb{R}$ is a set of real number)
Assume $P$, $Q$, $R$ and $W$ are matrices of order $3 \times 3$, $a \times 4$, $b \times c$ and $d \times a$ respectively. If $PQ + WR$ is well defined, then the value of $ab + cd$ is:
Work through every CUET UG Algebra PYQ, year by year.