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LectCh4-example

LectCh4-example -  =      x y...

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Chapter 4. Linear Transformations Math1111 Linear Transformations Kernel & Range Example 1 . Find bases for the kernel and range of the linear transformation T : R 3 R 3 given by T x y z = x + y + 2 z x + z 2 x + y + 3 z . Does there exist a linear transformation L : R 3 R 3 such that L T = Id ?
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Chapter 4. Linear Transformations Math1111 Linear Transformations Kernel & Range Example 1 . Find bases for the kernel and range of the linear transformation T : R 3 R 3 given by T x y
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Unformatted text preview:     =       x + y + 2 z x + z 2 x + y + 3 z       . Example 2 . Consider the vector space V = ±² a b c a ³ : a , b , c ∈ R ´ under the usual matrix operations. Let T : V → V be defined by T    x y z x    =    x + y + 2 z x + z 2 x + y + 3 z x + y + 2 z    . Find bases for the kernel and range of the linear transformation T ....
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