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Evaluate the following determinant. |(x^2-x+1, x -1),(x+1, x+1)|

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Question

Evaluate the following determinant.

`|(x^2-x+1, x -1),(x+1, x+1)|`

Evaluate
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Solution

`|(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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Chapter 4: Determinants - Exercise 4.1 [Page 108]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.1 | Q 2.2 | Page 108
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