Let T : R³ → R³ defined by T(x, y, z)=(-x+y,3y,4x-2y+5z). Find a basis B for the domain of 7 such that the matrix of T relative to B is diagonal.

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Let T: R³ R³ defined by T(x, y,
z)=(-x+y,3y,4x-2y + 5z).
Find a basis B for the domain of 7 such that the matrix of 7 relative to B is diagonal.
Transcribed Image Text:Let T: R³ R³ defined by T(x, y, z)=(-x+y,3y,4x-2y + 5z). Find a basis B for the domain of 7 such that the matrix of 7 relative to B is diagonal.
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