National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 3
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 8
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 8
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 9
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 10
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 9
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 10
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 1, 2016/17
MA1101R Linear Algebra I
Homework 3
1. To be handed in during the lecture on 13th October (Lecture Group SL1) or 14th October
(Lecture Group SL2). Late submission will not be a
NATIONAL UNIVERSITY OF SINGAPORE
Department of Mathematics
MA1101R Laboratory 1
Semester 1 2016/17
A Very Brief Introduction to MATLAB,
Matrix Operations and Solving Linear Systems
In this laboratory session, we introduce some very basic MATLAB commands f
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 7
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 7
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 5
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 1
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 2
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 1
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 2
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 4
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 4
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 6
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 5
Lecture Group SL1
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
National University of Singapore
Department of Mathematics
Semester 2, 2009/2010 MA1101R Linear Algebra I
Practice Session 6
Lecture Group SL2
(a) This question sheet consists of 2 pages.
(b) Do all the problems. Write your answers on this question sheet
MA1101R Exam Solution (AY2007-2008 Sem II)
Question 1
(i) Since S has three vectors, we just need to show S is linearly independent:
1
Use determinant: 0
1
1
1
0
0
1 = 1 (1
1
0)
1 (0
1) = 2 6= 0:
(Can also arrange the vectors of S as columns of the determ
MA1101R
LINEAR ALGEBRA I
SEMESTER 2 EXAMINATION 2008-2009
SOLUTIONS
Question 1
[20 marks]
(a) Let V = cfw_(w, x, y, z) | y = w x, z = 2w + x be a subset of R4 .
(i) [2 marks] Write down an explicit form of a general vector in V .
(ii) [2 marks] Show that
Student Number:
U/T/A*
*Delete where necessary
NATIONAL UNIVERSITY OF SINGAPORE
FACULTY OF SCIENCE
SEMESTER 2 EXAMINATION 2009-2010
MA1101R
LINEAR ALGEBRA I
April/May 2010
Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
1. Write down your matriculation/s
Student Number:
A/U/T*
*Delete where necessary
NATIONAL UNIVERSITY OF SINGAPORE
FACULTY OF SCIENCE
SEMESTER 2 EXAMINATION 2010-2011
MA1101R
LINEAR ALGEBRA I
April/May 2011
Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
1. Write down your matriculation/s
Student Number:
A/U/T*
*Delete where necessary
NATIONAL UNIVERSITY OF SINGAPORE
FACULTY OF SCIENCE
SEMESTER 2 EXAMINATION 2011-2012
MA1101R
LINEAR ALGEBRA I
April/May 2012
Time allowed: 2 hours
INSTRUCTIONS TO CANDIDATES
1. Write down your matriculation/s