Math 205 Quiz 2 Worksheet

ADVERTISEMENT

Math 205 Quiz 2
Name:
1 2 3
1. A =
2 3 4
3 4 5
(a) Solve the equation Ax = 0. Write the answer in vector parameter form.
(b) Using (a), are the columns of A linearly independent or dependent? If they are dependent, find
some c
, c
, c
(not all zero) such that c
a
+ c
a
+ c
a
= 0
1
2
3
1
1
2
2
3
3
1
a
2
2. B =
For what values of a,b will the columns of B span
?
1 b
3. Build a matrix (choose numbers m and n and fill in the matrix) to demonstrate the following:
(a) An m by n matrix whose columns are linearly independent but do not span
.
(b) An m by n matrix which spans
but whose columns are not linearly independent.
1

ADVERTISEMENT

00 votes

Related Articles

Related forms

Related Categories

Parent category: Education
Go