- 6 7 Numbers Consider The Transformation T R3 R3 Defined As T Xyz 3x 2yy Z Xz 2y A Show That T 1 (39.8 KiB) Viewed 27 times
TA−1⎝⎛T⎣⎡xyz⎦⎤⎠⎞=⎣⎡xyz⎦⎤ for all ⎣⎡xyz⎦⎤∈R3
(6) (7 numbers) Consider the transformation T:R3→R3 defined as T⎝⎛⎣⎡xyz⎦⎤⎠⎞=⎣⎡3x−2yy+z−xz+2y⎦⎤. (a) Show that T
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(6) (7 numbers) Consider the transformation T:R3→R3 defined as T⎝⎛⎣⎡xyz⎦⎤⎠⎞=⎣⎡3x−2yy+z−xz+2y⎦⎤. (a) Show that T
(6) (7 numbers) Consider the transformation T:R3→R3 defined as T⎝⎛⎣⎡xyz⎦⎤⎠⎞=⎣⎡3x−2yy+z−xz+2y⎦⎤. (a) Show that T is a linear transformation (you must show that all the requirements of the definition are satisfied). (b) Find the standard matrix A of T and show that the A is invertible and find its inverse.
TA−1⎝⎛T⎣⎡xyz⎦⎤⎠⎞=⎣⎡xyz⎦⎤ for all ⎣⎡xyz⎦⎤∈R3
TA−1⎝⎛T⎣⎡xyz⎦⎤⎠⎞=⎣⎡xyz⎦⎤ for all ⎣⎡xyz⎦⎤∈R3
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