Let T: R^2 -> R^2 be the linear transformation given by
T*
(|x|
|y|) =
|2x-y |
|-8x+4y|.
Find a basis for the range of T
Solution
basis = number of rows = 2
range ==> range of r^2, where r is any real number
so range is[0,).
Let T R^2 - R^2 be the linear transformation given by T (x.pdf
1. Let T: R^2 -> R^2 be the linear transformation given by
T*
(|x|
|y|) =
|2x-y |
|-8x+4y|.
Find a basis for the range of T
Solution
basis = number of rows = 2
range ==> range of r^2, where r is any real number
so range is[0,)