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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Systems of Linear Equations and Inequalities
Determinants and Cramer's Rule

Warm-Ups



1

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A)TRUE
B)FALSE
2

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A)TRUE
B)FALSE
3

Cramer’s rule solves any system of two linear equations in two variables.
A)TRUE
B)FALSE
4

The determinant of a 2 x 2 matrix is a real number.
A)TRUE
B)FALSE
5

If D = 0, then there might be no solution to the system.
A)TRUE
B)FALSE
6

Cramer’s rule is used to solve systems of linear equations only.
A)TRUE
B)FALSE
7

If the graphs of a pair of linear equations intersect at exactly one point, then this point can be found by using Cramer’s rule.
A)TRUE
B)FALSE
8

The determinant of a 3 x 3 matrix is found by using minors.
A)TRUE
B)FALSE
9

Expansion by minors about any row or any column gives the same value for the determinant of a 3 x 3 matrix.
A)TRUE
B)FALSE
10

The sign array is used in evaluating the determinant of a 3 x 3 matrix.
A)TRUE
B)FALSE