CUET · MATHS · PYQ PAPER 2025
If \(A\) and \(B\) are symmetric matrices of order \(3 \times 3\) then the matrix \(2 A B-B A\) is :
- A a symmetric matrix
- B a skew-symmetric matrix
- C both symmetric and skew-symmetric matrix
- D neither symmetric nor skew-symmetric matrix
Answer & Solution
Correct Answer
(D) neither symmetric nor skew-symmetric matrix
Step-by-step Solution
Detailed explanation
\(X = 2AB - BA\) \(X^T = (2AB - BA)^T\) \(X^T = 2(AB)^T - (BA)^T\) \(X^T = 2B^T A^T - A^T B^T\) Given \(A^T = A\) and \(B^T = B\): \(X^T = 2BA - AB\) Since \(X^T \neq X\) and \(X^T \neq -X\) in general, the matrix is neither symmetric nor skew-symmetric.
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- If \(f(x)=\left\{\begin{array}{ll}\frac{\sin \pi x}{5 x}, & x \neq 0 \\ k, & x=0\end{array}\right.\) is continuous at \(x=0\), then \(k\) is :CUET 2023 Hard
- Let \(f:[0, \infty) \rightarrow[0,2]\) be defined by \(f(x)=\frac{2 x}{1+x}\), then \(f\) is:CUET 2023 Hard
- The equation of the tangent, to the curve \(y=x^2-2 x-3\) which is perpendicular to the line x + 2y + 3 = 0, is:CUET 2023 Hard
- If the mean of Binomial distribution is 5 and Variance is 3 then the value of \(p\) (probability of success) is :CUET 2023 Easy
- \(\int_0^2|x-1| d x=\)CUET 2023 Easy
- The order and degree of the differential equation \(\left(\frac{d^3y}{dx^3}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^3 + x^3 \left(\frac{dy}{dx}\right)^5 - \sqrt{x^2+1}\) are respectively:CUET 2023 Medium
More PYQs from CUET
- At what rate of interest will the present value of a perpetuity of ₹ 500 payable at the end of every 6 months be ₹ 20,000 ?CUET 2025 Easy
- Arrange the correct sequence of steps for gel electrophoresis.
(A). Load this DNA into the agarose gel matrix
(B). Cutting the DNA fragments by using a restriction enzyme
(C). Use ethidium bromide for DNA staining
(D). Separated bands of DNA are cut out from agarose gel
Choose the correct answer from the options given below.CUET 2025 Medium - Australian marsupials show the phenomena of:CUET 2023 Hard
- Low oxygen concentration in the human body at high altitudes is due to the _________CUET 2025 Easy
- A box contains 3 white and 2 red balls. If we draw one ball and without replacing the first ball, the probability of drawing red ball in the second draw is:CUET 2023 Medium
- The order of the differential equation \(\left[1+\left(\frac{d y}{d x}\right)^2\right]^2=\left(\frac{d^3 y}{d x^3}\right)\) is:CUET 2023 Medium