Class 12 Matrices · Conceptual Answer1 Markssymmetric_and_skew_symmetric
Class 12 Maths · Matrices · Conceptual Answer #45
If \(\begin{bmatrix}0 & a & -3\\2 & 0 & -1\\b & 1 & 0\end{bmatrix}\) is skew-symmetric, find a,b.
✅ Step-by-Step Solution
Final Answer: a=−2,b=3
- The rule aᵢⱼ=−aⱼᵢ gives a=−2 from entries (1,2),(2,1) and b=3 from entries (3,1),(1,3).
- a=−2,b=3
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The rule aᵢⱼ=−aⱼᵢ gives a=−2 from entries (1,2),(2,1) and b=3 from entries (3,1),(1,3).
- [0.5 marks] a=−2,b=3
Master Chapter 3: Matrices
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
← Previous Question
Construct A=[aᵢⱼ]₂ₓ₂ with aᵢⱼ=|i²−j|.
Next Question →If 2\(\begin{bmatrix}1 & 3\\0 & x\end{bmatrix}\)+\(\begin{bmatrix}y…
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…