CUET UG 2025 — Mathematics Algebra
Which of the following statements are correct?
(A) If A is a square matrix, then ∣A2∣=∣A∣2.
(B) If A and B are square matrices of the same order, then det (AB) = det (A) + det (B).
(C) If A is a square matrix of order 3 and ∣A∣=2, then the value of ∣−3A∣ is 54.
(D) If the matrix [5−x3x−15] is singular, then the value of x is 7/2.
Choose the correct answer from the options given below:
Held on 19 May 2025 · Verified 13 Jul 2026.
(A), (B) and (D) only
(A), (B) and (C) only
(A) and (D) only
(B), (C) and (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:
A relation R in the set A = {1, 2,3, 4} is given by R = {(1,1), (2,2), (1,2), (2,3), (3,4), (4,4), (1,3), (2,4), (1,4)} is
If $P(A) = \frac{3}{5}$, $P(B) = \frac{1}{2}$ and $P(A \cap B) = \frac{1}{4}$, then $P(\overline{A} | \overline{B})$ is
If corner points of the bounded feasible region are (0, 0), (3, 0) and (0, 3) and objective function is $z = 4x + 7y$, then the maximum value of $z$ is
The maximum value of a LPP $z = 3x + 4y$ subject to the constraints: $x + y \leq 6$, $x \geq 0$, $y \geq 0$ is:
Work through every CUET UG Algebra PYQ, year by year.