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If A = [(1,1,-2),(2,1,-3),(5,4,-9)], find |A|.

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Question

If A = `[(1,1,-2),(2,1,-3),(5,4,-9)]`, find |A|.

Sum
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Solution

A = `[(1,1,-2),(2,1,-3),(5,4,-9)]`

|A| = `|(1,1,-2),(2,1,-3),(5,4,-9)|`

= `1|(1,-3), (4,-9)| -1 |(2,-3),(5,-9)| + (-2)|(2,1),(5,4)|`

= 1(−9 + 12) − 1(−18 + 15) + (−2)(8 − 5)

= 1(3) − 1(−3) + (−2)(3)

= 3 + 3 − 6

= 0

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Chapter 4: Determinants - Exercise 4.1 [Page 109]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.1 | Q 6 | Page 109
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