Basics & Introduction

Question 1

Linear Equation

with n variables

Answer 1

Linear Equation

with n variables

Question 2

System of linear equations:

Collection of linear equations involving the same variables

Answer 2

System of linear equations:

Collection of linear equations involving the same variables

Question 3

Solution is a list of numbers that make each equation in the system of equations true when substituted for

Answer 3

Solution is a list of numbers that make each equation in the system of equations true when substituted for

Question 4

Consistent: if there exists at least one (1) solution

Answer 4

Consistent: if there exists at least one (1) solution

Question 5

Inconsistent: if there is no solution

Answer 5

Inconsistent: if there is no solution

Question 6

Two systems of equations are equivalent if they have the same solution set

Answer 6

Two systems of equations are equivalent if they have the same solution set

Question 7

Any system System can either have:

ONLY one(1) solutions

NO solutions

INFINITELY many solutions

Answer 7

Any system System can either have:

ONLY one(1) solutions

NO solutions

INFINITELY many solutions

Question 8

Matrix representation

representing the system of equations in a organized form without using variables

Answer 8

Matrix representation

representing the system of equations in a organized form without using variables

Question 9

Coefficient Matrix

Augmented Matrix: includes in the final column the constant

Answer 9

Coefficient Matrix

Augmented Matrix: includes in the final column the constant

Question 10

Free Variable

Free

Answer 10

Free Variable

Free