- #1

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## Homework Statement

Let T: R3 --> R3 be the linear transformation that projects

**u**onto

**v**= (3,0,4)

Find the rank and nullity of T

## Homework Equations

So let

**u**=(x,y,z)

## The Attempt at a Solution

So I know that

T(

**u**) = proj. u onto v

T(

**u**) = [(3x + 4z)/ 25](3,0,4)

T(

**u**) =

**0**

This is where I get confused, in a simalar example from my text (which skips some steps) leads me to belive that I can set 3x + 4z = 0.

Is not the nullity(T) = dim(ker(T))?

So would'nt I have to

T(

**u**) = [(3x + 4z)/ 25](3,0,4) = (0,0,0)

Create an augmented matrix and find the nullspace?

I get a different answer than the book is getting?

Any ideas?

Rob