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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.
उत्तर
Let A = `[(1,−1,2),(2,1,3),(3,2,4)]`
C1 → C1 − 2C2
A ∼ `[(3,−1,2),(0,1,3),(−1,2,4)]`
C2 → C2 + 2C1
A ∼ `[(3,5,2),(0,1,3),(−1,0,4)]`
C1 → 4C1 + C3
A ∼ `[(14,5,2),(3,1,3),(0,0,4)]`
C1 → C1 − 3C2
A ∼ `[(−1,5,2),(0,1,3),(0,0,4)]`
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