MAT 1341 Homework Assignment #2
1 0
0
Question 1. [1 point] For which value(s) of c is 0 c c 1 invertible?
0 0 c2
A For all values of c
B For all values of c except for c = 0
C For all values of c except for c = 0 and c = 1
D For all values of c except fo
MAT 1341 - Frequent mistakes
1. Proof by Example. You cant prove a general mathematical statement by showing that it
holds in one particular case. Comparison: to prove that all swans are white it doesnt suce
to nd one white swan, because that doesnt rule
MAT 1341 Solutions to Homework Assignment #1
Question 1. [1 point] Consider the plane P : 3x 2y + 6z = 3 and the line
l : (x, y, z) = (3, 4, 0) + t(4, 3, 3). Which statement about the intersection of P
and l is correct?
A P and l intersect in a unique poi
MAT 1341D Practice Final Winter 2014
Instructor: P. Hofstra
1. [1 point] Suppose A is a square matrix with n rows (where n 1) and that the rank of
A is n 1. Which of the following statements is then necessarily true?
(a) A is not diagonalizable
(b) The co
MAT 1341 Homework Assignment #3
Family Name:
First Name:
Student Number:
Print this assignment and answer the questions in the space provided. Make
sure your assignment is properly stapled together!
Due date: Wednesday April 9, 5pm. (Place your assignme
MAT 1341 Midterm Test #2 Solution
Winter 2014
March 22nd, 10.00-11.20h
(1) [1 point] Which of the following is not a subspace of R3 ?
(a) cfw_(x, y, z)|x = y and x = z
(b) cfw_(x, y, z)|x = y and y z
(c) cfw_(x, y, z)|(x, y, z) (1, 1, 1) = 0
(d) cfw_t(1,