Monomath – CBSE | GSEB | IB | JEE Maths by Ajay Yadav (Math King of Katargam) – 15+ Years Experience. Study Notes, Video Lessons, Formula Sheets & PYQs.
← Back to chapters

Matrices

Previous Year Questions (2022-2024)

📅 Year 2022

  1. Find X and Y if X+Y = [[5,2],[0,9]] and X-Y = [[3,6],[-1,8]].
    Show Solution
    X = 12[(X+Y)+(X-Y)] = 12[[8,8],[-1,17]] = [[4,4],[-1/2,17/2]]\nY = 12[(X+Y)-(X-Y)] = 12[[2,-4],[1,1]] = [[1,-2],[1/2,1/2]]
  2. Find AB if A=[[-1,2],[3,1]] and B=[[1,0],[4,2]].
    Show Solution
    AB = [[-1(1)+2(4), -1(0)+2(2)]; [3(1)+1(4), 3(0)+1(2)]]\n= [[7,4],[7,2]]

📅 Year 2023

  1. Find X and Y if X+Y = [[5,2],[0,9]] and X-Y = [[3,6],[-1,8]].
    Show Solution
    X = 12[(X+Y)+(X-Y)] = 12[[8,8],[-1,17]] = [[4,4],[-1/2,17/2]]\nY = 12[(X+Y)-(X-Y)] = 12[[2,-4],[1,1]] = [[1,-2],[1/2,1/2]]
  2. Find AB if A=[[-1,2],[3,1]] and B=[[1,0],[4,2]].
    Show Solution
    AB = [[-1(1)+2(4), -1(0)+2(2)]; [3(1)+1(4), 3(0)+1(2)]]\n= [[7,4],[7,2]]

📅 Year 2024

  1. Find X and Y if X+Y = [[5,2],[0,9]] and X-Y = [[3,6],[-1,8]].
    Show Solution
    X = 12[(X+Y)+(X-Y)] = 12[[8,8],[-1,17]] = [[4,4],[-1/2,17/2]]\nY = 12[(X+Y)-(X-Y)] = 12[[2,-4],[1,1]] = [[1,-2],[1/2,1/2]]
  2. Find AB if A=[[-1,2],[3,1]] and B=[[1,0],[4,2]].
    Show Solution
    AB = [[-1(1)+2(4), -1(0)+2(2)]; [3(1)+1(4), 3(0)+1(2)]]\n= [[7,4],[7,2]]