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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

If A = [4525], then |(2A)−1| = - Mathematics and Statistics

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प्रश्न

If A = `[(4, 5),(2, 5)]`, then |(2A)−1| = ______

पर्याय

  • `1/30`

  • `1/20`

  • `1/60`

  • `1/40`

MCQ

उत्तर

`1/40`

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पाठ 1.2: Matrics - MCQ

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Solution:

AB = `[(4, 3, 2),(-1, 2, 0)] [(1, 2),(-1, 0),(1, -2)]`

AB = [  ]

|AB| =  `square`

M11 = –2  ∴ A11 = (–1)1+1 . (–2) = –2

M12 = –3     A12 = (–1)1+2 . (–3) = 3

M21 = 4       A21 = (–1)2+1 . (4) = –4

M22 = 3       A22 = (–1)2+2 . (3) = 3

Cofactor Matrix [Aij] = `[(-2, 3),(-4, 3)]`

adj (A) = [  ]

A–1 = `1/|A| . adj(A)`

A–1 = `square`


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