CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q51 Marksmatrix_inverse
CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 5 (Matrices)
For a square matrix A, which expression equals (3A)⁻¹ when it exists?
✅ Step-by-Step Solution
Final Answer: A⁻¹/3
- A is then invertible, and multiplying 3A by A⁻¹/3 gives I.
Master Chapter 3: Matrices
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
← Previous Question
For A=[[cos x,−sin x],[sin x,cos x]], solve A+Aᵀ=I for x in [0,π/2].
Next Question →The determinant of [[−1,−2,5],[−2,a,−1],[0,4,2a]] is −86. Find the…
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/2/1
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…