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प्रश्न
Transform `[(1, -1, 2),(2, 1, 3),(3, 2, 4)]` into an upper traingular matrix by suitable row transformations.
उत्तर
Let A = `[(1, -1, 2),(2, 1, 3),(3, 2, 4)]`
Applying R2 → R2 – 2R1
and R3 → R3 – 3R1, we get
`"A" ∼ [(1, -1, 2),(0, 3, -1),(0, 5, -2)]`
Applying `"R"_3 → "R"_3 - (5/3)"R"_2`, we get
`"A" ∼ [(1, -1, 2),(0, 3, -1),(0, 0, -(1)/(3))]`,
which is an upper triangular matrix.
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