Let T: R³ R³ be a linear transformation with standard matrix A. Let P be a parallelepiped in R³. If P has signed volume 7, and T(P) has signed volume -3 what is A?
Let T: R³ R³ be a linear transformation with standard matrix A. Let P be a parallelepiped in R³. If P has signed volume 7, and T(P) has signed volume -3 what is A?
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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Transcribed Image Text:Let \( T: \mathbb{R}^3 \to \mathbb{R}^3 \) be a linear transformation with standard matrix \( A \). Let \( P \) be a parallelepiped in \( \mathbb{R}^3 \). If \( P \) has signed volume 7, and \( T(P) \) has signed volume \(-3\) what is \(|A|\)?
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