Math 314
Matrix Theory Homework
All assignments are from Applied Linear Algebra and Matrix Analysis,
by Thomas Shores, revised 2nd edition.
Starred (*) problems are due the Thursday after the date on which they are assigned.
(Note: This page is for informational purposes only, and cannot be guaranteed for
accuracy/timeliness; the assignments as given in class serve as the final authority.)
Due Jan. 20:
Section 1.1, p.7:
1,2,5,6*
Section 1.2, p.16:
1,3*,7,11*,show that the conjugate of the quotient of
two complex numbers is the same as the quotient of their conjugates.
Due Jan. 27:
Section 1.3 ,p.26:
1ac*,2,4*,5,7
Section 1.4, p.36: 2a*bc,3a*,5,7
Section 2.1, p.51: 1*,2,3,5*
Due Feb. 3:
Section 2.2, p.57: 1,5,6*,8*
Section 2.3, p.65: 1,2,3*
Due Feb. 10:
Section 2.4, p.76: 1,2,8*, show that for any matrix A, ATA is
symmetric.
Due Feb. 17:
Section 2.5, p.87: 1a*bd,2*,4,6,14
Section 2.6, p.97: 2acde (hand in cd),3,5,7*,8
Due Feb. 24:
Section 3.1, p.122: 1*,2,5*,6,11,12
Section 3.2, p.128: 1*,2,3,5*,9,10,12
Due Mar. 2:
Section 3.3, p.136: 1*,2*,3,4,5,9
Section 3.4, p.144: 1*,4,5
Due Mar. 9:
Section 3.5, p.152: 1,2*,3,4a*b,5
Section 3.6, p162: 1,2*,3a*,b,5,11
Due Mar. 23:
Section 3.7, p.170: 1a,b*,2,4,5,6*,9,10
Due Mar. 30:
Section 4.1, p.188: 1a*,b,d*,2a,3,8*,10,14(Hint: for v=e-vector,
then look at v^T(A^T A)v )
Due Apr. 6:
Section 4.2, p.195: 1a*,bc,2ab,3ab,4*,7
Due Apr. 13:
Section 4.3, p.203: 1a*,b,d*,e,2a,5
Section 5.1, p.215: 2*,6,7
Due Apr. 20:
Section 5.2, p.224: 1,3a*b*,c4*,5,13
Section 5.3, p.233: 1*,2,4*,6,11