MAT167finalsol.pdf - MAT 167 Advanced Linear Algebra Final...

This preview shows page 1 - 2 out of 12 pages.

MAT 167: Advanced Linear Algebra Final Exam Solutions Problem 1 (15 pts) (a) (5 pts) State the definition of a unitary matrix and explain the difference between an orthogonal matrix and an unitary matrix.
(b) (5 pts) Prove if is unitary, then for any , we have .
(c) (5 pts) Show that the column vectors of any unitary matrix are linearly independent.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture