MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 2
MATH 2050
Due: Thur May 24
1. Margo has 1.05 dollars in dimes nickels, and pennies. If there are 17 coins in all, how
many coins of each type can she have?
Answer: L
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 9
MATH 2050 sect. 3
ANSWERS
For practice and extra credit only.
1. Use vectors addition to show that
(a) In a regular hexagon ABCDEF, AB + AC + AE + AF = 2AD
solution:
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 2050 Sec.3
Assignment 4
ANSWERS
1. Consider augmented matrix for a homogeneous system of linear equations.
1.1 Rewrite the problem in the matrix form AX = B (identify matric
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 2050
Assignment 3
Answers
1. For each system of linear equations given below identify the rank of the matrix of coecients. Find the solution (if it exists). In each solvable
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 2050 Sec.3
Assignment 6
ANSWERS
1. For each of the following matrices nd:
Answer
For A =
2a a2
,
a3 a4
a4 a3
a2 2a
1. the matrix of cofactors is
2. the determinant using the
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 1
MATH 2050
Answers
1. Find all solutions for the following linear equation by writing the solution in parametric
form. How many parameters are in the solution?
(a) 27
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 5
MATH 2050
Answers
1. Find the inverse of each of the following matrices or explain why it is not possible.
A=
10 20
. det A = 0 thus the inverse matrix does not exis
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
MATH 2050
Assignment 7
Answers
1. (a) Give a denition of an eigenvalue and corresponding eigenvector of a matrix.
AX = X,
X = 0.
(b) Explain the method (step by step) how to nd a
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3
MATH 2050 Sec 3
Answers
1. Give an example of a system of linear equations with four variables and the rank as
specied. Give a solution for your system and prove by
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 2
MATH 2050 Sec 3
ANSWERS
1. There are geese and pigs in a farm. They collectively have 20 legs. How many geese and
pigs are in the farm? Is the answer unique? How man
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 1
MATH 2050 Sec. 3
Due: Sept 14, 2007
1. Find all solutions for the following systems of linear equations by writing the solution in
parametric form. How many paramete