Let have decomposition Note Problem 17.3 and Theorem 14.3. Use the decomposition to find the rank of and verify that rank Find an orthonormal basis for the range of Find an orthonormal basis...

Let

have

decomposition

Note Problem 17.3 and Theorem 14.3.

Use the

decomposition to find the rank of

and verify that rank

Find an orthonormal basis for the range of

Find an orthonormal basis for the null space of

^T