in Linear Algebra
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What is the value of the given determinant ?

 

in Linear Algebra
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429 views

4 Comments

Yes correct @anshuman66.
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@ankit3009, determinant is a number associated with square matrices. Since, $3 \times \det( \frac{1}{4} A )^{−1}$ is a value, not a square matrix, so you can’t find determinant of it.
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Understood Sir. Thank you :)
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1 Answer

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det(3(1/4A)-1) = det(3(1/4)-1A-1) = det(3.4A-1) = det(12 A-1) = 123 * |A-1| = 123 * 1/|A| = 123 * 1/(-2) =-864