One of my homework problems asks to find the matrices of orthogonal projections onto all four fundamental subspaces.
For the projection onto the range of the matrix, I used
projection of Range of A = A((A * A)inverse)A *.
But the A * A is not invertible, so I was wondering where to go from here? Is there a different equation I can use in this situation?
If anyone is curious, the matrix is
1 1 1
1 3 2
2 4 3
*I have figured out what my issue was, I needed an orthogonal basis. Now I have figured out the protection for Ran (A *) and Ran (A). By definition, Ran A = Ker( A *) Transpose, so does that mean Ran A transpose = Ker ( A *)?