- #1

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- 4

## Homework Statement

The problem has to do with diagonalizing a square matrix, but the part I'm stuck on is this:

Bx=0, where B is the matrix with rows [000], [0,-4, 0], and [-3, 0, -4].

After performing rref on the augmented matrix Bl0, I get rows [1,0,4/3,0], [0,1,0,0], [0000].

I am trying now to solve for column vector x=[x1,x2,x3]^transposed.

## Homework Equations

## The Attempt at a Solution

I'm stuck. From every other problem like this I would set x3 = r, where r is an arbitrary constant. x2 has a leading entry and I set that equal to zero, which seems to be the only thing I'm getting correct. I know the answer should be [-4,0,3]^transposed, so x1=-4, x2=0, x3=3 but I can't seem to algebraically get there.

Can someone let me know what I'm missing? Thank you!