Class 12 Matrices · Mcq Single Correct1 Marksmatrix_operations
Class 12 Maths · Matrices · Mcq Single Correct #77
For arbitrary matrices A,B for which both AB and BA are defined, which claim is always valid?
✅ Step-by-Step Solution
Final Answer: Option (D): None of these
- Products can commute (take identities), can fail to commute, and need not be zero. None of the first three claims holds universally.
Master Chapter 3: Matrices
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
← Previous Question
For the row matrix A=[1 2 3], find AAᵀ.
Next Question →If a real matrix A is both symmetric and skew-symmetric, select its…
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…