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प्रश्न
Evaluate the following determinant.
`|(x^2-x+1, x -1),(x+1, x+1)|`
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उत्तर
`|(x^2-x+1, x -1),(x+1, x+1)|`
= (x2 − x + 1) × (x + 1) − (x + 1) × (x − 1)
= x3 + x2 − x2 − x + x + 1 − (x2 + x − x − 1)
= x3 − x2 + 2
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