MATH10212 Linear Algebra B Homework 9
Students are strongly advised to acquire a copy of the Textbook:
D. C. Lay, Linear Algebra and its Applications. Pearson, 2006 (or other editions).
Normally, homework assignments will consist of some odd numbered exer
MATH10212 Linear Algebra B Homework 10
Students are strongly advised to acquire a copy of the Textbook:
D. C. Lay, Linear Algebra and its Applications. Pearson, 2006 (or other editions).
Normally, homework assignments will consist of some odd numbered exe
Lecture 14
Eigenvalues and Eigenvectors
Suppose that A is a square (n n) matrix. We say that a nonzero vector v is an eigenvector (ev)
and a number is its eigenvalue (ew) if
Av = v.
(14.1)
Geometrically this means that Av is in the same direction as v, si
Solving Cubic Equations
First, write your equation as a polynomial:
A V3 + B V2 + C V + D = 0
Method 1: Iteration
1.) Write the equation as V=f(V)
V = -(1/C) (A V3 + B V2 + D)
2.) Pick an initial guess for V0 (eg 0, Vig, etc.) and evaluate:
V1 = -(1/C) (A
2014/2015
HELIN NO#:0
Batch No# : 0
Serial No#: 3504604
Names
MILLICENT CHELANGAT KILEL
ID No# and Registration No.
30341680 - W132/0063/2013
University Name
JARAMOGI OGINGA ODINGA UNIVERSITY OF SCIENCE AND
TECHNOLOGY
Email
millicentchelangatkilel@yahoo.c
Chapter 7
Eigenvalues and Eigenvectors
7.1
Eigenvalues and Eigenvectors
Homework: [Textbook, 7.1 Ex. 5, 11, 15, 19, 25, 27, 61, 63, 65].
Optional Homework:[Textbook, 7.1 Ex. 53, 59].
In this section, we introduce eigenvalues and eigenvectors. This is
one
D Alembert Ratio Test
D Alembert Ratio Test : If
lim
+1
is a positive term series, and if
,then
is convergent if l > 1
is divergent if l < 1
Test fails if l = 1
Q 9 Test the convergence of the series
2
2.5.8
2.5.8.11
+ 1.5.9 + 1.5.9.13 + .
1
The given s
MATH10212 Linear Algebra B Homework 6
Students are strongly advised to acquire a copy of the Textbook:
D. C. Lay, Linear Algebra and its Applications. Pearson, 2006 (or other editions).
Normally, homework assignments will consist of some odd numbered exer
MATH10212 Coursework Test
DO NOT TURN OVER
until you are invited to do so
16:1016:50, Monday 15 April 2013
(Test counts 15% towards the assessment for the course.)
Time allowed: 40 minutes
NAME (Please Write Clearly in BLOCK CAPITALS):
STUDENT ID:
SUPERVI
MATH10212
Two and a half hours
THE UNIVERSITY OF MANCHESTER
MATH10212 Linear Algebra
30 May 2008
09:4512:15
Answer ALL Questions in Section A
and Two Questions in Section B
The use of electronic calculators is NOT permitted
Formula Tables NOT To Be Used
P
MATH10212 Linear Algebra B Homework 1
Students are strongly advised to acquire a copy of the Textbook:
D. C. Lay Linear Algebra and its Applications. Pearson, 2006. ISBN 0-521-28713-4.
Normally, homework assignments will consist of some odd numbered exerc
MATH10212 Linear Algebra B Homework Week 2
Deadline: make sure that your solutions to problems 9*11* reach your supervision
class teacher 24 hours before your supervision class in Week 2.
Students are strongly advised to acquire a copy of the Textbook:
D.
MATH10212
Two and a half hours
THE UNIVERSITY OF MANCHESTER
MATH10212 Linear Algebra
Thursday 17 May 2007
09:4512:15
Answer ALL Questions in Section A
and Two Questions in Section B
You can get for this paper 80 points maximum, which will be re-scaled to
MATH10212 Linear Algebra B Homework 3
Students are strongly advised to acquire a copy of the Textbook:
D. C. Lay Linear Algebra and its Applications. Pearson, 2006. ISBN 0-521-28713-4.
Normally, homework assignments will consist of some odd numbered exerc
MATH10212 Linear Algebra B Homework 4
Students are strongly advised to acquire a copy of the Textbook:
D. C. Lay Linear Algebra and its Applications. Pearson, 2006. ISBN 0-521-28713-4.
Normally, homework assignments will consist of some odd numbered exerc
MATH10212
Two and a half hours
THE UNIVERSITY OF MANCHESTER
MATH10212 Linear Algebra
30 May 2008
09:4512:15
Answer ALL Questions in Section A
and Two Questions in Section B
The use of electronic calculators is NOT permitted
Formula Tables NOT To Be Used
P
HOW TO SOLVE CUBIC EQUATIONS BY FUNCTIONS
ON THE CALCULATOR
David Tacon
Although there is a formula. for solving cubic equations (see Parabola, 2nd issue
1989) it is rarely used in practice since it can be tricky to apply in even very simple cases.
(Besid