NCERT Exercise 4.5 Q15 - Determinants

Question: If A=[[2,-3,5],[3,2,-4],[1,1,-2]], find A^{-1}. Using A^{-1}, solve 2x-3y+5z=11, 3x+2y-4z=-5, x+y-2z=-3.

Answer: A^{-1}=[[0,1,2],[-2,9/2,23/2],[-1,5/2,13/2]]; x=1, y=2, z=3.

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