M215 Linear Algebra
April 2010 Presentation
Stop Press 2
22 June 2010
1. M215 Final Examination Date
The final exam will be held on 19 August 2010 and the Registry will send you a set of
exam document
2017 GEN S100F : MC questions for Unit 3 and Unit 4
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) For the s
GEN S100F
Mathematics in Daily Life
Unit 5 (Part 2)
Statistical Relationships
1
Correlation vs. Regression
A scatter plot (or scatter diagram) can be
used to show the relationship between
two variable
Unit LA5 Eigenvectors
Solutions to the exercises
1.1 We have
t(2, 2) = (2 8, 2 + 4) = (6, 6)
= 3(2, 2)
and
t(7, 7) = (7 + 28, 7 14) = (21, 21)
= 3(7, 7).
In each case the original vector is scaled by
Solutions to the exercises
Solutions to the exercises
1.1 (a)
1.3 We use Strategy 1.1.
(a) First t(0) = 0, so t may be a linear
transformation.
Next we check whether t satises LT1:
t(v1 + v2 ) = t(v1
Solutions to the exercises
Solutions to the exercises
1.1 (a) This is a linear equation.
(b) This is not a linear equation. The third term
involves the product of x3 and x4 .
(c) This is a linear equ
Unit LA1 Vectors and conics
Solutions to the exercises
1.1 Using the formula for the equation of a line
when given its gradient and one point on it, we nd
that the equation of this line is
y (1) = 3(x
Unit AA1 Numbers
Solutions to the exercises
1.1 Since 45 20 = 900 and 17 53 = 901, we have
1.7 (a) Putting all the fractions over the common
45/53 < 17/20. Thus
17
45
45
17
1 <
<
<0<
<
< 1.
20
53
53
a %“i’ﬁki M215 Specimen
OF HONG KONG
M215 Linear Algebra
Time Allowed: 3 hours
THIS PAPER )ll'ST BE RETl'RNEI)
Admissible / Inadmissible materials in this examination: Material/Stationery Material t
M215 TMA 01 solution
Cut-o date: 24 May 2010
Question 1
(a) Set up the equations
2y + x + 1 = 6
(x y) = 1
and obtain
x = 1; y = 2:
(b)
(i) Every point X on CQ has a position vector of the form
r = q +
M215
Solutions to Specimen Examination Paper
This is a guide to the type of written solutions required. Some questions may
have alternative answers.
Part I
Question 1
(a) The position vectors c and d
M215 Linear Algebra
April 2010 Presentation
Stop Press 1 (Letter to Students)
12 February 2010
Important note:
Please note that you will NOT be sent printed copies of any supplementary mailings. All
s
GEN S100F Mathematics in Daily Life CMA01
Cut-off Date: 28/Feb/2017
Questions 1 to 2
Tommy deposited a principal $ 50,000 into a saving account for 5 years.
Q1 With simple interest at the annual rate