Find orthonormal vectors q1,q2,q3 such that q1, q2 span col.

[svalik]

1) Find the orthonormal vectors q1, q2, q3 such that q1, q2 span the column space of:

A = [1 1
2 -2
-2 4]

2) Which of the 4 fundamental subspaces contains q3?

3) Solve Ax = (1,2,7) by least squares

 

[Unco]

"Orthonormal vectors", "column space", "the four fundamental subspaces", "least squares" all have definitions, which you need to know or look up before tackling problems about them. Let us know where you get stuck after this stage!