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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Matrices and Matrix OperationsSection:The Determinant of a Matrix and Cramer's Rule
 

Problem: 1

Find the determinant of the matrix.


Problem: 3

Find the determinant of the matrix.


Problem: 5

Find the value of the determinant.


Problem: 7

Find the determinant of the matrix.


Problem: 9

Compare the statements in the two columns and choose the correct statement.

a) The quantity in column A is greater.

b) The quantity in column B is greater.

c) The two quantities are equal.

d) The relationship cannot be determined from the given information.


Problem: 11

Solve the system of equations using Cramer's Rule.


Problem: 13

Solve the equations using Cramer's rule

5a + 7b = 35

7a – 9b = 53


Problem: 15

Solve the equations using Cramer's rule

5x – 4y = 6


Problem: 17

Solve the equations using Cramer's rule

1.25 x + 5y = –20

3(xy) = 27


Problem: 19

Solve the system of equations using Cramer's Rule.


Problem: 21

Solve system of equations using Cramer's Rule.


Problem: 23

Solve system of equations using Cramer's Rule.


Problem: 25

Solve the system of equations using Cramer's Rule.


Problem: 27

Determine whether the system of equations has one solution, no solution or more than one solution.


Problem: 29

Determine whether the system of equations has a one solution, no solution or more than one solution.


Problem: 31

Solve the system of equations using Cramer's Rule.


Problem: 1

Find the determinant of the matrix.


Problem: 3

Find the determinant of the matrix.


Problem: 5

Find the value of the determinant.


Problem: 7

Find the determinant of the matrix.


Problem: 9

Compare the statements in the two columns and choose the correct statement.

a) The quantity in column A is greater.

b) The quantity in column B is greater.

c) The two quantities are equal.

d) The relationship cannot be determined from the given information.


Problem: 11

Solve the system of equations using Cramer's Rule.


Problem: 13

Solve the equations using Cramer's rule

5a + 7b = 35

7a – 9b = 53


Problem: 15

Solve the equations using Cramer's rule

5x – 4y = 6


Problem: 17

Solve the equations using Cramer's rule

1.25x + 5y = –20

3(xy) = 27


Problem: 19

Solve the system of equations using Cramer's Rule.


Problem: 21

Solve system of equations using Cramer's Rule.


Problem: 23

Solve system of equations using Cramer's Rule.


Problem: 25

Solve the system of equations using Cramer's Rule.


Problem: 27

Determine whether the system of equations has one solution, no solution or more than one solution.


Problem: 29

Determine whether the system of equations has a one solution, no solution or more than one solution.


Problem: 31

Solve the system of equations using Cramer's Rule.