1.
2.
3.
4.
5.
6.
7.
Matrix Theory HW 9. Not to turn in.
Do problem 1., (a) - (f) on page 294 of Leon.
For each of the matrices A in problem 1 above, determine if A is diagonalizable
(over the complex
Matrix Theory HW 8. Not to be turned in.
1. Do the following problems from page 221 of Leon: 2; 3 for 3 b) nd a basis of the
orthogonal complement.
2. Use the algorithm of Lecture Note 8 to extend the
Solutions to selected problems on HW 8.
Solution to Problem 3. Let
1
2
A=
1
3
2
3
.
1
5
Then W = column space(A) so
W = [column space(A)] = N (AT )
by formula (1) of Lecture Note 8.
AT =
1 2 1 3
2
Matrix Theory HW 5. Not to turn in.
1. Use one of Algorithms 5 or 7 from Handout 5 on Algorithms to compute bases to
solve the following problems. Show your work, rst writing down an appropriate
matri
Matrix Theory HW 4. Not to turn in.
Do the following problems from Leon.
page 125: 2, 5, 20, 21.
page 137: 2 (d), (e); 8 (a), (b), (c). If the given vectors are linearly dependent write
out a specic d
Matrix Theory 4140 HW 3. Not to turn in.
Do the following problems from Leon.
page 90: 3, 6.
page 97: 2,4,5,6,11,12.
page 105: 1 (why does (i) tell you that A is invertible?), 2 (a) and (c), 10, 11, 1