1) Let be an eigenvalue of an invertible matrix A. Show that 1 is an
eigenvalue of A1. (Hint: Suppose a nonzero x satisfies A x = x .)
Show that if A is invertible, that all its eigenvalues are not ze
Part 2
5) Find the value of h for which the following system is consistent and then solve the system for
this value of h.
x+ y=2
3 x+ y =4
x3 y=h
[
[
[
[
[
[
]
1 1 2
3 1 4 3 R1+ R 2 R2
1 3 h
]
1 1
2
0
2
6. Consider the set of all polynomials of the form p (t )=a+t (where a R ). Is this set a
subspace of the set of all realvalued continuous functions?
p () = 1 + 2 2 p () = 2 + 2t2
Let = 1; scalar =
STOP
GRADED ASSIGNMENT! Only the students instructor may help.
Graphing Activity 2C
(10 points)
Name _
Instructor _
Due _
A small college estimates its enrollment based on the formula, E =108t + 254
w
Chapter 19 Assignment
New road signs are made with the intention of improving visibility to drivers. Highway safety engineers
setup a test course that included both the old and the new signs. Voluntee
Chapter 5 The Standard Deviation as a Ruler & the Normal Model
Example 1: One college student received a score of 78 on a French exam and a score of 86 on a Math
exam. The overall results on the Frenc
SOLHOM 2015 Rev.
Unit 2 Review
1. A basketball player makes 80% of her free throws. Suppose she wakes up every morning
and starts shooting free throws.
a. How could you use tile? random digits 09 to
Exam 2 Topics to know:
Simulation (ch 9)
o How to accurately model a situation through simulation (using random numbers)
o How to use the results of a simulation to estimate the probability of a rando
Chapter 21 Assignment
Eight students in a statistics class were asked to report the number of hours they slept on weeknights and
on weekends. The table shows the results.
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Ll
L2.
Chapter 20 Assignment
1) A study was conducted to determine if the percent of women who received financial aid is
different fan the percentage of men who receive financial aid. A random sample of stud
Chapter 6 Scatterplots, Association, and Correlation
Example 1: Match the following graphs with one of the correlations listed below.
0.977
0.021
0.736
0.951
Example 2: Randomly selected subjects ri
MATH143 EXAM1 FORM1741
Answer is C
Answer is E
OR
Answer is B
MATH143 EXAM1 FORM1741
Answer is C

2
 1
+5
0
(2)(1) =  2
(2)(3) = 6
(2)(6) = 12
6
12
2
1
_
2+5 = 3
1
Answer is C
3
0+6=6
 1 +
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