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

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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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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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