Create orthogonal and orthonormal basis from your step basis

Mandatory Problem M-4

1. You will use your student ID to create sets of vectors that each span a subspace, as follows:

You may substitute non-zero elements if any of your vectors contain all zeros.

2. Calculate a basis for each of the three subspaces spanned by the vectors from 1a), 1b) and 1c) as described here:

5. Create an orthogonal and an orthonormal basis from your step 2 basis. Determine the coordinates of your vector from step 4, with respect to your orthonormal basis. Make a sketch that shows this vector and your orthonormal basis (Sections 6.7 and 6.8)