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1129860
Linear Algebra Quiz
Description
This quiz tests your detailed understanding of concepts and results in elementary linear algebra.
No tags specified
linear algebra
matrices
Quiz by
Clint Givens
, updated more than 1 year ago
More
Less
Created by
Clint Givens
over 10 years ago
223
3
0
Resource summary
Question 1
Question
A matrix has determinant zero if and only if it is ...
Answer
singular
invertible
square
diagonal
Question 2
Question
A matrix which represents a linear transformation \(T: \mathbb{R}^2 \to \mathbb{R}^3\) has dimensions ...
Answer
2x3
3x2
2x3 or 3x2
3x3
2x2
2x2 or 3x3
There is no matrix representation for such a transformation.
Question 3
Question
A linear system of two equations with three unknowns could have ...
Answer
no solutions
exactly one solution
infinitely many solutions
Question 4
Question
Which of the following are possible values for the rank of a 3x5 matrix?
Answer
1
3
4
5
8
15
Question 5
Question
Which of the following are elementary row operations?
Answer
Multiplying each entry in the row by a nonzero constant
Interchanging the position of two rows
Replacing a row with the sum of itself and a multiple of another row
Rearranging the order of the entries within a row
Replacing a row with the sum of two other rows
Adding a nonzero constant to each entry in a row
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