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?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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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|?
Transcribed Image Text: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|?
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