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TS EAMCET 19-July-2022 Shift 2 Solved Paper

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Question : 4

Total: 160

Let A,B be two 3×3 matrices and C be a 3×3 unit matrix such that AB−C is a nonsingular matrix.
Let D=(AB−C)−1 . Then, consider the following statements.
Statement I : det(BA)=det(BA−C)‌det(BDA)
Statement II : ABD=DAB
Which of the above statements is(are) true?

Statement I is true, but Statement II is false
Statement II is true, but Statement I is false
Both Statement I and Statement II are true
Both Statement I and Statement II are false

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