MAT NYC
ASSIGNMENT 3
1. A square (n x n) matrix P is called idempotent if P 2 P. (For example the zero matrix On
and the identity matrix I n are idempotent.) Show that:
1 1 1 0
1 1 1
a)
and
are idempotent.
,
2 1 1
0 0 1 0
b) If P is idempotent, so is I

201-NYC-05 Fall 2016
Homework
M. Hamel
August 17, 2016
Homework: Homework will be assigned weekly. There will be three types of homework assigned:
WeBWorK, written and collected assignments, and suggested exercises. You may not have all
types of homework

MAT- 703
Assignment 4
T. Zakon
Subspaces, basis and dimension
See posted Summary Document on Subspaces. It includes definitions and outline of procedures relevant to the
problems below. You may use the online Matrix Reducer for matrices involving numeric

MAT-703
T. Zakon
ASSIGNMENT 3
Complex Arithmetic
REFERENCES: TEXTBOOK PP 234 249; Summary note on Complex Numbers (to be posted on
Omnivox)
HAND IN questions 3(h), (i), 4, 5(b), 6, 7(a), (b), 8(a), (b), 9
Complex Numbers in Rectangular form
1.
Specify the

MAT-703
STUDY GUIDE FOR TEST II
October, 2016
T. Zakon
Complex Numbers
Definitions (be able to state):
What is a complex number? What are the real part and imaginary part
of a complex number? What is the absolute value and the polar angle of a complex num

MAT-703
T. Zakon
STUDY GUIDE FOR TEST I
September, 2016
Note: You should expect test questions to involve definitions, interpretation and comprehension, some
proofs, as well as questions involving computations. Material covered involves Practice sheet 1,

MAT- 703
Summary Note on Subspaces, Spans, Basis, Dimension
T. Zakon
CONCEPTS AND DEFINITIONS
v1 , v2 , vm is a vector of the form w = c1v1 + c2 v2 + + cm vm where
the ci are scalars ; in other words w is a weighted sum of the vi , with weights ci .
1.

MAT-703
SUMMARY NOTE ON COMPLEX NUMBERS
T. Zakon
An overview of the evolution of number systems
Starting with counting numbers, our number system evolved gradually for a variety of purposes, both
computational and algebraic. At each stage of the evolution