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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If AB(AB)-1=[12-17-1927] and AA-1=[1-1-23] then BB-1 =

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Question

Choose the correct alternative:

If `("AB")^-1 = [(12, -17),(-19, 27)]` and `"A"^-1 = [(1, -1),(-2, 3)]` then `"B"^-1` =

Options

  • `[(2, -5),(- 3, 8)]`

  • `[(8, 5),(3, 2)]`

  • `[(3, 1),(2, 1)]`

  • `[(8, -5),(-3, 2)]`

MCQ
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Solution

`[(2, -5),(- 3, 8)]`

shaalaa.com
Applications of Matrices: Solving System of Linear Equations
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Chapter 1: Applications of Matrices and Determinants - Exercise 1.8 [Page 48]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 10 | Page 48

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