4. Let TR³ →R³ be a linear transformation determined by T X 3x - 2y + z = -3x + 3y+2 x - Y (a) Find the standard matrix of T. (b) Show that the standard matrix of T is invertible and find its inverse. (c) Find T-1 Ꮖ У 2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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4. Let TR³ →R³ be a linear transformation determined by
T
X
3x - 2y + z
=
-3x + 3y+2
x - Y
(a) Find the standard matrix of T.
(b) Show that the standard matrix of T is invertible and find its inverse.
Transcribed Image Text:4. Let TR³ →R³ be a linear transformation determined by T X 3x - 2y + z = -3x + 3y+2 x - Y (a) Find the standard matrix of T. (b) Show that the standard matrix of T is invertible and find its inverse.
(c) Find T-1
Ꮖ
У
2
Transcribed Image Text:(c) Find T-1 Ꮖ У 2
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