MA 305 Spring 2K Homework 4 Solutions
1.
Define the set P3
a bx cx2 dx3 : a b c d
, the set of polynomials of degree 3 or less with real
coefficients. Show that P3 is a vector space over the real numbers with the usual scalar multiplication and addition
o
MAT-228-01
Linear Algebra
Problem Set 5
Prof. L. Collins
Attach work to this page and hand in next class. All work should be neatly written!
Consider each set. Determine if each forms a vector space under the given definition of addition and scalar
multip
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Solutions Problem Set 4
L. Collins
1. (a) det(A)=30
(b) det(B)=-4
2. det(A) = cos2 ( sin2 ) = cos2 + sin2 = 1
3. det(A)=0. This implies the system has nontrivial solutions.
4. The determinant of a lower triangular matrix is the product of the diagonal
ent
MAT-228-01
Linear Algebra
Fall 2016
Problem Set 4
Prof. L. Collins
Attach work to this page and hand in next class. Explain everything in detail! All work should be neatly
written.
1. Calculate the determinant of each of the following matrices by using ro
MAT-228-01
Linear Algebra
Fall 2016
Problem Set 2
Prof. L. Collins
Attach work to this page. All work should be neatly written. Due Date: TBA
1. The trace of a square matrix A is the sum of the elements along the main diagonal. Prove
that if A and B are b
MAT-228
Linear Algebra
Fall 2016
Problem Set 3
Prof. L. Collins
Attach work to this page. All work should be neatly written.
1. Consider the matrices given by
2
A=6
1
1
1
E=
0
1
1
0
0
0
3
5
4
0
1
0
1
1
0
1
0
5
B= 3
2
9
5
F =
2
8
3 6
8 0
0 4
3
4
0
3
11
MAT-228
Linear Algebra
Fall 2016
Problem Set 1
Prof. L. Collins
Attach work to this page and hand in next class. All work should be neatly written, with a full
explanation! This means explain everything. A good rule of thumb: write solutions as if you
are
MAT130 Probability and Statistics
(15SP16-O-26121)
TY, DIANNA RAIZEL N.
#0865193
April 15, 2015
Prof. M. Persau
Part 1
Car Weight and Fuel Consumption:
Given are weights (in pounds) and highway fuel consumption amounts (mi/gal) of randomly
selected cars.
_x000D_
BILLIONAIRE 1992
(AGE vs WEALTH)
Reference:
Description:
Fortune, September 7, 1992. "The Billionaires." pp. 98-138.
Fortune magazine publishes the list of billionaires annually. The 1992 list
included 218 individuals or families. Their wealth and
COUNTY COLLEGE of MORRIS
MAT 130 PROBABILITY AND STATISTICS 4/2/2014
4 hrs/wk. 4 cr. BEGINNING FALL 2014
Catalog description: The fundamental principles of statistical methods. Descriptive statistics, correlation,
regression, probability, binomial and nor
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BILLIONAIRES 92
Fortune magazine publishes the list of billionaires
annually.
The 1992, the list included 218 individuals.
Their age and weal
Probability and Statistics
MAT130 -26121
Ziru Liu (#0863728)
April 16, 2015
Spring project
Part 1
Given are weights (in pounds) and highway fuel consumption amounts (mi/gal) of randomly
selected cars. Is there a correlation between weight and highway fuel
Tuesday, March 31, 2015
Dear Students:
As part of the requirements of this course, you are expected to complete a technology project.
The project will include many of the topics that were covered in this course. However, much
data will be required in orde
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