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Question: Answered & Verified by Expert
If A is a 3×3 matrix and A=12 then A-1AdjAdjA-1=
MathematicsMatricesTS EAMCETTS EAMCET 2022 (18 Jul Shift 2)
Options:
  • A 8
  • B 18
  • C 12
  • D 2
Solution:
2744 Upvotes Verified Answer
The correct answer is: 8

Given,

A is a 3×3 matrix and A=12

Then A-1AdjAdjA-1=A-1A22-1

A-1AdjAdjA-1=A-1A4-1

A-1AdjAdjA-1=A3-1

A-1AdjAdjA-1=1A3

A-1AdjAdjA-1=23=8

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