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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Systems of Linear Equations and Inequalities
Solving Linear Systems Using Matrices
Warm-Ups
1
(3.0K)
The augmented matrix for x + 3y = 5 and -x - 3y = 2 is matrix (a).
A)
TRUE
B)
FALSE
2
The augmented matrix for 2y - x = -3 and 2x - 4y = 3 is matrix (c).
A)
TRUE
B)
FALSE
3
Matrix (a) is equivalent to matrix (b).
A)
TRUE
B)
FALSE
4
Matrix (c) is equivalent to matrix (d).
A)
TRUE
B)
FALSE
5
The system corresponding to matrix (b) is inconsistent.
A)
TRUE
B)
FALSE
6
The system corresponding to matrix (c) is dependent.
A)
TRUE
B)
FALSE
7
The system corresponding to matrix (d) is independent.
A)
TRUE
B)
FALSE
8
The augmented matrix for a system of two linear equations and two unknowns is a 2 x 2 matrix.
A)
TRUE
B)
FALSE
9
The notation 2R
1
+ R
3
→ R
3
means to replace R
3
by 2R
1
+ R
3
.
A)
TRUE
B)
FALSE
10
The notation R
1
↔ R
2
means to replace R
2
by R
1
.
A)
TRUE
B)
FALSE
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