MATH 2120: Quiz #3 SOLUTIONS
/6
Problem 1: Let A =
2 4
. Find A1 and use it to solve the following linear systems:
1 3
(a)
2x + 4y = 10
x + 3y = 2
A1 =
1
(2)(3) (4)(1)
2x + 4y = 1
x + 3y = 3
(b)
3 4
1
Name:
Student #:
MATH 212
Linear Algebra I
Instructor: Richard Taylor
FINAL EXAM
24 April 2006
19:0022:00
Instructions:
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Student #:
Okanagan University College
Salmon Arm Campus
MATH 221 Introduction to Linear Algebra
MIDTERM EXAM #1
2 March 2004
Instructor: Richard Taylor
Instructions:
1. Read all inst
MATH 2120 F14 Exam Review
1
Exam Review
The nal exam will cover the following sections from the textbook:
1.1-1.3
2.1-2.3, 2.4 (balancing equations, network analysis)
3.1- 3.3,3.5-3.6, 3.7 (Markov Cha
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MATH 2120 F14 Test 2 Solutions
1
(
( ) (
) (
)
)
x
2x
x
x
1. Let T1
=
and T2
=
. Let T be the transfory
y
y
x+y
mation from R2 to R2 obtained by rst applying T1 , and then T2 .
a) Find the matrix of t
MATH 2120 F14 Quiz 6 Solutions
1
1. In a Markov chain, there are two states 0 and 1. When the system is in state 0, it
stays in that state with probability 0.4. When the system is in state 1, it trans
MATH 2120 F14 Quiz 2 Solutions
1
1. Give the vector equation of the plane passing through the points P = (1, 0, 0), Q =
(0, 1, 0), and R = (0, 0, 1).
Solution Let
0
1
1
u = PQ = 1 0 = 1
0
0
0
0
1
MATH 2120 F14 Quiz 4 Solutions
1
1. Balance the following chemical reaction (photosynthesis):
CO2 + H2 O C6 H12 O6 + O2 .
#H
Solution For each compound in the reaction, associate a vector #C . Let
#O
MATH 2120 F14 Quiz 5 Solutions
1
1. For the matrix below, give bases for row(A), col(A), and null(A).
1 2 1
A= 1 4 1
1 1 2
Solution Row reduced the matrix using Gauss Jordan elimination.
1 2 1
1
MATH 2120 F14 Quiz 1 Solutions
(
1. Given the vectors a =
2
3
1
)
(
and b =
2
1
)
, nd the vector x, given that x a +
2b = 2(x 2a).
Solution
x = 2x 4a
x = 3a + 2b ) (
(
) (
)
2
2
2
= 3
+
=
.
3
4
11
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Jul
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Monthly Utility Expenses for 2016
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115
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MATH 212
Linear Algebra I
Instructor: Richard Taylor
MIDTERM EXAM #1
17 February 2006 08:3009:20
Instructions:
1. Read all instructions carefully.
2. Read the whole exam be
MATH 212
Linear Algebra I
Instructor: Richard Taylor
FINAL EXAM
SOLUTIONS
19 April 2008
09:0012:00
problem
grade
out of
1
2
Instructions:
1. Read all instructions carefully.
2. Read the whole exam bef
Name:
Student #:
GRADE:
/50
Okanagan University College
Department of Mathematics & Statistics
MATH 221 Introduction to Linear Algebra
FINAL EXAM
22 April 2005 09:0012:00
Salmon Arm Campus
Instructor:
MATH 2120: Quiz #6 SOLUTIONS
/10
Problem 1: Let TA (x) be a linear transformation of the (x, y)-plane that performs a reection across
the line y = x followed by a clockwise rotation by 45 .
(a) Find t
Name:
Student #:
MATH 2120
Linear Algebra I
Instructor: Richard Taylor
FINAL EXAM #1 (IN-CLASS COMPONENT)
10 April 2014 11:3012:45
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9
Instructions:
2
5
1. Read the whole exam bef
MATH 212 Linear Algebra I
Richard Taylor Thompson Rivers University
last revision: January 16, 2008
1
Systems of Linear Equations
Lec. #1
In your other courses you might have already met with a proble
MATH 2120: Quiz #1 SOLUTIONS
/5
Problem 1: Use Gauss-Jordan elimination to solve the following system of linear equations.
x + 3y + z = 7
3x + 9y + 7z = 6
1 3 1 7
3 9 7 6
R 3R
2 1
x = 43 3y
4
= y i
MATH 2120
Linear Algebra I
Instructor: Richard Taylor
MIDTERM EXAM #2
SOLUTIONS
20 March 2014 11:3012:45
problem
Instructions:
1. Read the whole exam before beginning.
2. Make sure you have all 5 page
MATH 2120: Quiz #5 SOLUTIONS
/5
Problem 1: Let V R3 be the set of vectors of the form (a, b, c) where b = a + c. Is V a subspace of
R3 ? If so, nd a basis for V .
To show closure under scalar multipli
MATH 2120 Final Exam #2 (take-home component)
11 April 2014
Name:
Signature:
Instructions:
1. Prepare your solutions on your own paper, stapled with this exam paper at the front.
2. It is permissible
MATH 2120: Quiz #2 SOLUTIONS
/7
Problem 1: Solve a system of linear equations to balance the chemical equation
(x1 ) C7 H6 O2
+
(x2 ) O2
(x3 ) CO2
+
(x4 ) H2 O
1
1 0 7
1 0 1
0 0
7 0 1
0 0
C:
1
7
R1
R2
MATH 2120
Linear Algebra I
Instructor: Richard Taylor
MIDTERM EXAM #1
SOLUTIONS
6 February 2014
11:3012:45
problem
grade
out of
Instructions:
1
10
1. Read the whole exam before beginning.
2. Make sure
GRADE:
Name:
/42
Student #:
Okanagan University College
Salmon Arm Campus
MATH 221 Introduction to Linear Algebra
MIDTERM EXAM #2
25 March 2004
Instructor: Richard Taylor
Instructions:
1. Read all ins