Table of contents

Prepare for your exams

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

Skip topic navigation

0. Review of Algebra(0)
1. Equations & Inequalities(0)
2. Graphs of Equations(0)
3. Functions(0)
4. Polynomial Functions(0)
5. Rational Functions(0)
6. Exponential & Logarithmic Functions(0)
7. Systems of Equations & Matrices(0)
8. Conic Sections(0)
9. Sequences, Series, & Induction(0)
10. Combinatorics & Probability(0)

7. Systems of Equations & Matrices

Introduction to Matrices

7. Systems of Equations & Matrices

Introduction to Matrices: Videos & Practice Problems

Video Lessons Practice Worksheet

Introduction to Matrices Practice Problems

193 problems

61PRACTICE PROBLEM

Consider these given matrices A and B, and perform the mentioned matrix operation. Also, state the reason if the operation is not defined.

Matrices A and B for addition in college algebra, chapter 7 on systems of equations.

Instruction to find the sum of matrices A and B in college algebra.

62PRACTICE PROBLEM

Write the new matrix after performing the matrix row operation.

Matrix before row operation with equation 5R3 + R1.

63PRACTICE PROBLEM

What is the system of equations associated with the following augmented matrix? Please note that you don't need to solve it.

${"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"[\" close=\"]\"><mrow><mtable><mtr><mtd><mn>4</mn></mtd><mtd><mn>7</mn></mtd><mtd><mn>5</mn></mtd></mtr><mtr><mtd><mn>3</mn></mtd><mtd><mn>7</mn></mtd><mtd><mn>6</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mo>-</mo><mn>7</mn></mtd><mtd><mn>4</mn></mtd></mtr></mtable><menclose notation=\"left\"><mtable><mtr><mtd><mn>3</mn></mtd></mtr><mtr><mtd><mn>19</mn></mtd></mtr><mtr><mtd><mn>31</mn></mtd></mtr></mtable></menclose></mrow></mfenced></mstyle></math>","truncated":false}$

64PRACTICE PROBLEM

Consider these given matrices P and Q, and perform the mentioned matrix operation. Also, state the reason if the operation is not defined.

Matrices P and Q for addition operation in college algebra. Instruction to find the sum of matrices P and Q.

65PRACTICE PROBLEM

Write the new matrix after performing the matrix row operation.

Matrix before row operations with instructions for transformation.

66PRACTICE PROBLEM

What is the system of equations associated with the following augmented matrix? Please note that you don't need to solve it.

${"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"[\" close=\"]\"><mrow><mtable><mtr><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable><menclose notation=\"left\"><mtable><mtr><mtd><mn>7</mn></mtd></mtr><mtr><mtd><mn>15</mn></mtd></mtr><mtr><mtd><mn>21</mn></mtd></mtr></mtable></menclose></mrow></mfenced></mstyle></math>","truncated":false}$

67PRACTICE PROBLEM

Consider these given matrices P and Q, and perform the mentioned matrix operation. Also, state the reason if the operation is not defined. Matrices P and Q with the operation 2P - 3Q to solve.

68PRACTICE PROBLEM

Follow the procedures and fill in the missing numbers where, in the process of reducing the provided matrix to row-echelon form, with 1s running diagonally from upper left to lower right and 0s below the 1s, is demonstrated in a few steps.

Matrix reduction steps showing row-echelon form transformation in college algebra.

69PRACTICE PROBLEM

What is the system of equations associated with the following augmented matrix? Please note that you don't need to solve it.

${"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"[\" close=\"]\"><mrow><mtable><mtr><mtd><mn>3</mn></mtd><mtd><mn>7</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mn>6</mn></mtd><mtd><mn>5</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>0</mn></mtd><mtd><mn>9</mn></mtd></mtr></mtable><menclose notation=\"left\"><mtable><mtr><mtd><mn>9</mn></mtd></mtr><mtr><mtd><mn>13</mn></mtd></mtr><mtr><mtd><mn>8</mn></mtd></mtr></mtable></menclose></mrow></mfenced></mstyle></math>","truncated":false}$

70PRACTICE PROBLEM

Consider these given matrices P and Q, and perform the mentioned matrix operation. Also, state the reason if the operation is not defined.

Matrices P and Q with the operation -3(P + Q) = ?

71PRACTICE PROBLEM

Solve the system of equations using the Gauss-Jordan method and provide the solution with y arbitrary for systems in two variables that have infinitely many solutions.

System of equations: x + y = 25 and 2x - y = 11 for Gauss-Jordan method.

72PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7, introduction to matrices.

73PRACTICE PROBLEM

Solve the system of equations using the Gauss-Jordan method and provide the solution with y arbitrary for systems in two variables that have infinitely many solutions.

System of equations: 5x + 3y = 35 and 7x - 4y = 49 for solving with Gauss-Jordan method.

74PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7, topic: matrices.

75PRACTICE PROBLEM

Consider these given matrices P and Q, and perform the mentioned matrix operation. Also, state the reason if the operation is not defined. Matrices P and Q with the question PQ=? for matrix operations.

76PRACTICE PROBLEM

Solve the given system of linear equations using the Gauss-Jordan method.

3x + y = -12

x - 2y = -4

77PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7.

78PRACTICE PROBLEM

Solve the system of equations using the Gauss-Jordan method and provide the solution with y arbitrary for systems in two variables that have infinitely many solutions.

System of equations: 4x - 2y + 1 = 0 and 2x + 4y - 3 = 0 for Gauss-Jordan method.

79PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra course.

80PRACTICE PROBLEM

Solve the system of equations using the Gauss-Jordan method and provide the solution with y arbitrary for systems in two variables that have infinitely many solutions.

System of equations: 17x - y = 11 and 34x - 2y = 0 for Gauss-Jordan method.

81PRACTICE PROBLEM

Solve the given system of linear equations using the Gaussian elimination method.

2x - y = 2

x - y = 3

82PRACTICE PROBLEM

In the given matrix equation, find X. Provided, Matrix equation showing 2x + P = 2Q with matrices P and Q defined.

83PRACTICE PROBLEM

Solve the system of equations using the Gauss-Jordan method and provide the solution with y arbitrary for systems in two variables that have infinitely many solutions.

System of equations for Gauss-Jordan method in college algebra, Chapter 7.

84PRACTICE PROBLEM

Solve the given system of linear equations using the Gauss-Jordan method.

x - z = -1

y + z = 4

4x - 5z = -7

85PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7, topic: matrices.

86PRACTICE PROBLEM

Solve the given system of equations using the Gauss-Jordan method, and if the system has infinitely many solutions, express the solution set with z being arbitrary.

System of equations for Gauss-Jordan method in college algebra, Chapter 7.

87PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7, topic matrices.

88PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7.

89PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7.

90PRACTICE PROBLEM

Using Gaussian elimination with back-substitution or Gauss-Jordan elimination, solve the given system of equations.

System of equations for Gaussian elimination in college algebra, chapter 7.

Two Variable Systems of Linear Equations Practice Problems Determinants and Cramer's Rule Practice Problems

Download the Mobile app

Do not sell my personal information

Accessibility

Patent notice

Sitemap