Class 12 Matrices · Mcq Single Correct1 Markstranspose_operations
Class 12 Maths · Matrices · Mcq Single Correct #25
For x∈[0,π/2], let A=\(\begin{bmatrix}\cos x & \sin x\\-\sin x & \cos x\end{bmatrix}\). Find x if A+Aᵀ=√3 I.
✅ Step-by-Step Solution
Final Answer: Option (B): \(\pi/6\)
- The sum is 2cos x I. Therefore cos x=√3/2, whose unique solution in [0,π/2] is x=π/6.
Master Chapter 3: Matrices
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
← Previous Question
For arbitrary same-order real skew-symmetric matrices A and B, which…
Next Question →Assertion: The matrix [1 2 0 3] is a row matrix of order 1×4…
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…