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Suppose A is a 4x4 non-singular matrix where det(A) = – What is the value of det (A-¹) ?

Suppose A is a 4x4 non-singular matrix where det(A) = – What is the value of det (A-¹) ?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose \( A \) is a \( 4 \times 4 \) non-singular matrix where \( \det(A) = -\frac{1}{3} \). What is the value of \( \det(A^{-1}) \)? [Text Box for Answer]
Transcribed Image Text:Suppose \( A \) is a \( 4 \times 4 \) non-singular matrix where \( \det(A) = -\frac{1}{3} \). What is the value of \( \det(A^{-1}) \)? [Text Box for Answer]
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