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प्रश्न
Find the inverse of the matrix `A = [(1,2,-2),(-1,3,0),(0,-2,1)]`using elementary row transformations.
उत्तर
`A = [(1,2,-2),(-1,3,0),(0,-2,1)]`
= 1[3] - 2[-1] - 2[2]
`= 3 + 2 - 4 = 1 != 0 => A^(-1)` exist
we know
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संबंधित प्रश्न
The inverse of the matrix `[[2,0,0],[0,1,0],[0,0,-1]]`is --------
(a) `[[1/2,0,0],[0,1,0],[0,0,-1]]`
(b) `[[-1/2,0,0],[0,-1,0],[0,0,1]]`
(c) `[[-1,0,0],[0,-1/2,0],[0,0,1/2]]`
(d) `1/2[[-1/2,0,0],[0,-1,0],[0,0,-1]]`
The inverse of the matrix `[[-1,5],[-3,2]]` is _______
The inverse of the matrix `[[1,-1],[2,3]]` is ...............
(A) `1/5[[3,-1],[-2,1]]`
(B) `1/5[[3,1],[-2,1]]`
(C) `1/5[[-3,1],[-2,1]]`
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