Class Meetings:
Tu, Th 9:30--10:45 am, room 274 , Carver
Hal
Office
hours: M 3-4pm, W 8:45-9:45 am
Text: Linear Algebra
and its Applications, third edition, by David Lay.
Quiz 9 solutions
Topics:
Lines, planes and their descriptions
Systems of Linear equations and their solutions
Linear Transformations and their matrices
Matrices, properties, determinants
Vector Spaces
Eigenvalues, eigenspaces
Orthogonality
Symmetric matrices and quadratic forms
Testing and Grading:
Homework assignments will be given regularly, some might be graded.
In-class quizzes or exams will be given every week, starting the first week of classes.
Three in-class midterms and a written final exam will be given.
The overall grade will depend on the
following percentage distribution:
Quizzes and homework 35%,
Midterms 33%,
Final 32%.
Note, there will be no make-up exams or quizzes except in the case
of medical or family emergency.
Grading scale:
90+ A, 80+ B, 70+ C, 50+
D, 49- F.
Homework:
1.1: 1, 7, 8, 11-14 (solve and sketch the lines
given by each equation, interpret your solution geometrically), 26, 28*.
1.2.: 1, 2, 4, 12, 13, 16, 17, 24, 31.
1.3.: 6, 7, 9, 10, 12, 17, 20, 21, 22, 31
1.4.: 2, 3, 8, 10, 12, 15, 20, 21, 25
1.5.: 14, 17, 20, 2, 29-32, 36, 37.
1.7.: 1, 2, 6, 17, 21, 23, 24, 27, 33, 36
1.8.: 6, 9, 14-16, 30, 17, 18, 19, 21, 32, 35.
1.9.: 1, 2, 10, 11, 13, 15, 16, 17, 18, 23, 24, 36, (40 optional).
2.1.: 2, 4, 6, 13, 18, 24, 25, 27, 32, (35 optional).
2.2.: 2, 3, 7, 8, 13, 18, 20, 29, 30, 31, 32, 34.
2.3.: 3-6, 11-13, 16.
2.4. 7,8, 13, 21
2.5. 2,3,4
2.8. : 2,4, 5, a) Let S be a set of 345 vectors in the plane. Prove that
S is not a subspace, b) Let S be a
solution set to the system Ax=0.
Prove that S is a subspace.
16, 17, 19, 20, for matrices in 23-25 find a basis for the rowspace,
columnspace and a nullspace.
2.9.: 1, 3, 4, 5, 9, 10, 14, 15, 17, 18, 20, 24
3.1.: 3-6, 10-13, 37.
3.2. : 8, 9, 12, 13, 19, 20, 23, 29, 31, 32, 35, 36, 39.
3.3.: 4, 6, 10, 13, 14, 19, 24, 30, 32.
4.1.: 1, 2, 5, 6, 9, 11, 15, 21, 29, 33
4.2.: 2, 3, 5, 7, 8, 9, 10, 12, 16, 25, 26, 28, 31, 33
4.3.: 1, 2, 3, 7, 8, 13, 14, 15, 16, 21, 23, 26.
4.4.: 2, 3, 7, 8, 13, 14
4.5.: 3, 6, 9, 12, 13, 14, 19, 20, 26
4.6.: 1, 2, 4, 6, 7, 13--16
5.1.: 6, 17, 18, eigenvalues, eigenspaces for given matrices
5.2.: 20
5.3. 1,6,9,15-18,21-24, 32
6.1. 1-8, 13, 17, 19(c,d,e), 29
6.2. 6, 10, 12, 26, 24 a)-c)
6.3. 2, 3, 4, 7, 9, 12, 23, 24
6.4. 9, 10, 11, 12