North Carolina State University is a landgrant university and a constituent institution
of The University of North Carolina
Department of Mathematics
NC STATE UNIVERSITY
MA 305 Elem. Linear Algebra, Final Examination, December 9, 1997
kaltofen@eos.ncsu.ed
1 of 52
Linear Algebra Homework 1
Hoon Hong
Solve using Gauss-Jordan eliminiation
Solve
A x = b
using Gauss-Jordan
K K
3 2
A=
3
1
,b=
K
5
4
1. Augment
K K K
3 2 5
3
1
4
2. Forward eliminate
K K K
3 2 5
0 K K
1 1
,
R2 CR1
3. Backward eliminate
K
3
0 K
3
0
1 of 37
Linear Algebra Homework 2
Hoon Hong
LU Decomposition (LUD)
LU decomposition of A
A=
2 K
1
K K
4 1
1. Forward eliminate
2 K
1
0 K
3
,
R2 C2 R1
2. Build L and U
L=
1 0
K 1
2
,U=
2 K
1
0 K
3
2 of 37
LU decomposition of A
A=
3
4
K K
6 10
1. Forward el
North Carolina State University
Department of Mathematics
College of Physical and Mathematical Sciences
MA 305 Elem Linear Algebra
First mid-semester examination
Spring 1997
Erich Kaltofen
Professor
Your Name:
For purpose of anonymous grading, please do n
North Carolina State University
Department of Mathematics
MA-305 Elem Linear Algebra
Second Midsemester Quiz
Spring 1997
Your Name: SOLUTION
For purpose of anonymous grading, please do not write your name on the subsequent pages.
This examination consists
North Carolina State University
Department of Mathematics
MA-305 Elem Linear Algebra
Second Midsemester Quiz
Spring 1997
Your Name:
For purpose of anonymous grading, please do not write your name on the subsequent pages.
This examination consists of 5 que
North Carolina State University
Department of Mathematics
MA-305 Elem Linear Algebra
First Midsemester Quiz
Spring 1997
Your Name:
For purpose of anonymous grading, please do not write your name on the subsequent pages.
This examination consists of 4 ques
North Carolina State University is a landgrant university and a constituent institution
of The University of North Carolina
Department of Mathematics
NC STATE UNIVERSITY
MA 305 Elem. Linear Algebra, Second Mid-term Examination, October 28, 1997
kaltofen@e
North Carolina State University is a landgrant university and a constituent institution
of The University of North Carolina
Department of Mathematics
NC STATE UNIVERSITY
MA 305 Elem. Linear Algebra, Second Mid-term Examination, October 28, 1997
kaltofen@e
North Carolina State University
Department of Mathematics
College of Physical and Mathematical Sciences
MA 305 Elem Linear Algebra
First mid-semester examination
September 18, 1997
Erich Kaltofen
Professor
Your Name: SOLUTION
For purpose of anonymous grad
North Carolina State University
Department of Mathematics
MA-305 Elem Linear Algebra
Final Examination
Spring 1997
Your Name:
For purpose of anonymous grading, please do not write your name on the subsequent pages.
This examination consists of 5 questions
North Carolina State University is a landgrant university and a constituent institution
of The University of North Carolina
Department of Mathematics
NC STATE UNIVERSITY
MA 305 Elem. Linear Algebra, Final Examination, December 9, 1997
kaltofen@eos.ncsu.ed
North Carolina State University
Department of Mathematics
MA-305 Elem Linear Algebra
Final Examination
Spring 1997
Your Name: SOLUTION
For purpose of anonymous grading, please do not write your name on the subsequent pages.
This examination consists of 5
North Carolina State University
Department of Mathematics
College of Physical and Mathematical Sciences
MA 305 Elem Linear Algebra
First mid-semester examination
September 18, 1997
Erich Kaltofen
Professor
Your Name:
For purpose of anonymous grading, plea
1 of 71
Linear Algebra Homework 3
Hoon Hong
Overconstrained system: Best approximate solution
Find the best approximate solution of
4 K
3
A=
K
1
1 ,b=
K K
4 3
A x = b using normal equation
K
1
K
3
4
1. Formula for the best approximate solution
x = At A
-1