Class 12 Matrices · Conceptual Answer1 Marksmatrix_dimensions
Class 12 Maths · Matrices · Conceptual Answer #39
A is 3×n and B is m×5. If 5A−3B is defined, find its order.
✅ Step-by-Step Solution
Final Answer: 3×5, with n=5 and m=3.
- Addition or subtraction requires equal dimensions, so n=5,m=3; multiplying by scalars does not change the order.
- 3×5, with n=5 and m=3.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Addition or subtraction requires equal dimensions, so n=5,m=3; multiplying by scalars does not change the order.
- [0.5 marks] 3×5, with n=5 and m=3.
Master Chapter 3: Matrices
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
← Previous Question
Simplify cosθ \(\begin{bmatrix}\cos\theta & \sin\theta\\-\sin\theta…
Next Question →Given Aᵀ=\(\begin{bmatrix}3 & 4\\-1 & 2\\0 & 1\end{bmatrix}\) and…
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…