Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Matrices · Short Answer2 Marksmatrix_equality

Class 12 Maths · Matrices · Short Answer #93

If 2\(\begin{bmatrix}3 & 4\\5 & x\end{bmatrix}\)+\(\begin{bmatrix}1 & y\\0 & 1\end{bmatrix}\)=\(\begin{bmatrix}7 & 0\\10 & 5\end{bmatrix}\), find x−y.

✅ Step-by-Step Solution

Final Answer: 10
  1. Simplify the left side to [[7,8+y],[10,2x+1]].
  2. Matching entries gives 8+y=0 and 2x+1=5, so y=−8,x=2.
  3. Hence x−y=2−(−8)=10.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Simplify the left side to [[7,8+y],[10,2x+1]].
  • [1 mark] Matching entries gives 8+y=0 and 2x+1=5, so y=−8,x=2.
  • [0.5 marks] Hence x−y=2−(−8)=10.

Master Chapter 3: Matrices

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Matrices.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Solve for x: [x 1]\(\begin{bmatrix}1 & 0\\-2 & 0\end{bmatrix}\)=O…
Next Question →
For A=\(\begin{bmatrix}2 & 4\\3 & 2\end{bmatrix}\) and…

More Practice Questions in Matrices

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38Q39Q40

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…