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प्रश्न
Apply the given elementary transformation of the following matrix.
Transform `[(1,-1,2),(2,1,3),(3,2,4)]` into an upper triangular matrix by suitable column transformations.
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उत्तर
Let A = `[(1,−1,2),(2,1,3),(3,2,4)]`
C1 → C1 − C2
A ∼ `[(0,−1,2),(3,1,3),(5,2,4)]`
C1 ↔ C2
`[(-1,0,2),(1,3,3),(2,5,4)]`
C2 → C2 + 3C1, C3 → C3 + 2C1
`[(-1,0,0),(1,6,5),(2,11,8)]`
C3 → 6C3 − 5C2
`[(-1,0,0),(1,6,0),(2,11,-7)]`
C1 ↔ C3
`[(0,0,-1),(0,6,1),(-7,11,2)]`
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