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Consider the following linear transformation T: R³ R³ defined by With "a" a real constant. T(x, y, z) = (2x -y + 3z, x+y+z, ax -y + 2az) Knowing that M is the matrix associated with said linear transformation T. Calculate the appropriate value for "a", if det(M) = 3

Consider the following linear transformation T: R³ R³ defined by With "a" a real constant. T(x, y, z) = (2x -y + 3z, x+y+z, ax -y + 2az) Knowing that M is the matrix associated with said linear transformation T. Calculate the appropriate value for "a", if det(M) = 3

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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T: R³ R³ → Consider the following linear transformation defined by With "a" a real constant. T(x, y, z) = (2x - y + 3z, x+y+z, ax - y + 2az) Knowing that M is the matrix associated with said linear transformation T. Calculate the appropriate value for "a", if det(M) = 3
Transcribed Image Text:T: R³ R³ → Consider the following linear transformation defined by With "a" a real constant. T(x, y, z) = (2x - y + 3z, x+y+z, ax - y + 2az) Knowing that M is the matrix associated with said linear transformation T. Calculate the appropriate value for "a", if det(M) = 3
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