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Matrices
Previous Year Questions (2022-2024)
Year 2022
- If A = [[1,2],[3,4]] and B = [[2,0],[1,2]], find AB and BA. Is AB = BA?
Show Solution
AB = [[4,4],[10,8]]\nBA = [[2,4],[7,10]]\nAB ≠ BA. Matrix multiplication is not commutative. - Find inverse of A = [[2,3],[1,4]].
Show Solution
det A = 8-3 = 5\nA^{-1} = 15[[4,-3],[-1,2]]
Year 2023
- If A = [[1,2],[3,4]] and B = [[2,0],[1,2]], find AB and BA. Is AB = BA?
Show Solution
AB = [[4,4],[10,8]]\nBA = [[2,4],[7,10]]\nAB ≠ BA. Matrix multiplication is not commutative. - Find inverse of A = [[2,3],[1,4]].
Show Solution
det A = 8-3 = 5\nA^{-1} = 15[[4,-3],[-1,2]]
Year 2024
- If A = [[1,2],[3,4]] and B = [[2,0],[1,2]], find AB and BA. Is AB = BA?
Show Solution
AB = [[4,4],[10,8]]\nBA = [[2,4],[7,10]]\nAB ≠ BA. Matrix multiplication is not commutative. - Find inverse of A = [[2,3],[1,4]].
Show Solution
det A = 8-3 = 5\nA^{-1} = 15[[4,-3],[-1,2]]