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Given a (3 x 4) real matrix A and a (4 x 3) real matrix B, with determinant |(AB)| = a, and determinant |(BA)| = ß, what is the determinant of [2((AB)-2)T + 3(AB)² +21]

Given a (3 x 4) real matrix A and a (4 x 3) real matrix B, with determinant |(AB)| = a, and determinant |(BA)| = ß, what is the determinant of [2((AB)-2)T + 3(AB)² +21]

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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Given a (3 x 4) real matrix A and a (4 x 3) real matrix B, with determinant |(AB)| = a, and determinant |(BA)| = ß, what is the determinant of [2((AB)-2)T + 3(AB)² +21]
Transcribed Image Text:Given a (3 x 4) real matrix A and a (4 x 3) real matrix B, with determinant |(AB)| = a, and determinant |(BA)| = ß, what is the determinant of [2((AB)-2)T + 3(AB)² +21]
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