RAS 501 Linear Algebra for Engineering
Quiz 1 Solution
1) Please write down the column space of the following matrix:
๐ด=[134
123
011]
๐ถ(๐ด)=[1 3
1 2
0 1]
The third column is linearly dependent on the first two.
2) The column space for A is
A) A line in ๐
2
B) A ๐
2 plane
C) A plane in ๐
3
D) A line in ๐
3
E) A ๐
3 space
In C(A), each column is a vector in ๐
3. Two linearly independent columns
give you a plane
3) How many linearly independent ROWs can you find in matrix A?
r = 2
(same number of linearly independent rows and linearly independent columns)
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