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trojansc82
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Homework Statement
Use the given information to find the nullity of T and give a geometric description of the kernel and range of T.
T is the projection onto the vector v = (1,2,2):
T(x,y,z) = (x + 2y + 2z)/9 (1,2,2)
Homework Equations
Kernel of T = T(v) = 0.
Nullity of T = dimension of the kernel of T
The Attempt at a Solution
I created an augmented matrix that looks like this:
[ 1/9 2/9 2/9 | 1
2/9 4/9 4/9 | 2
2/9 4/9 4/9 | 2 ]
Row reducing I get just one vector because the other two are a scalar.
However, the answer in the book says the nullity is 2, so I am off.