Class 12 Matrices · Mcq Single Correct1 Markssymmetric_and_skew_symmetric
Class 12 Maths · Matrices · Mcq Single Correct #10
For real matrices A and B of the same order, which property is always satisfied by ABᵀ−BAᵀ?
✅ Step-by-Step Solution
Final Answer: Option (A): Skew-symmetric
- Taking the transpose gives BAᵀ−ABᵀ=−(ABᵀ−BAᵀ), exactly skew-symmetry.
Master Chapter 3: Matrices
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
← Previous Question
Let A,B,C have orders 2×3, 3×2, 3×3 respectively. Which expression…
Next Question →A 3×3 matrix P satisfies Pᵀ=2P+I. Find P.
More Practice Questions in Matrices
Related Questions in Matrices
Class 12 Matrices · Mcq Single Correct
Let A be a 2×2 matrix with aᵢⱼ=1 for i≠j and 0 for i=j. Find A².
Class 12 Matrices · Mcq Single Correct
Let A=\(\begin{bmatrix}\cos\alpha & -\sin\alpha\\\sin\alpha & \cos\alpha\end{bmatrix}\)…
Class 12 Matrices · Mcq Single Correct
If \(\begin{bmatrix}2a+b & a−2b\\5c−d & 4c+3d\end{bmatrix}\)=\(\begin{bmatrix}4 & -3\\11 &…
Class 12 Matrices · Mcq Single Correct
How many 3×3 matrices have every entry either 2 or 0?
Class 12 Matrices · Mcq Single Correct
Find x+y for constants x,y such that the identity A⁻¹=xA+yI holds for every real square…
Class 12 Matrices · Mcq Single Correct
If \(\begin{bmatrix}2 & 0\\5 & 4\end{bmatrix}\)=P+Q, where P is symmetric and Q…