Questions:
1. Use Cramer's rule to solve the system
x + y -z = -1
2x - 2y + 3z = -12
X + y - 4z = 13
Solution set is
2. Evaluate the determinate
5 0 0
1 -3 1
1 2 4
3. Use Cramer's rule to solve the system or to determine if it is inconsistent(I) or dependant(D)
-2x - 5y = -7
-8x - 20y = -28
The solution set is
The system is either I or D
4. Use Cramer's rule to solve the system or to determine if it is inconsistent(I) or dependant(D)
x + y = 5
x - y = 1The solution set is
The system is either I or D
5. a) Write the linear system as a matrix equation in the form AX=B
b) Solve the system using the inverse that is given for the coefficient matrix
x - 4y - 4z = -4 A-1 | 1/3 0 2/3 |
x + 2y -4z = -10 |-1/6 1/6 0 |
x + 2y + 2z = 8 | 0 -1/6 1/6|
6. a) Write the linear system as a matrix equation in the form AX=B
b) Solve the system using the inverse that is given for the coefficient matrix
x + y + z = -2 A-1 |-2/3 0 -1/3 |
-x - 2y + z = 10 | 1/3 -1/3 0 |
-x - 2y - 2z = -2 | 0 1/3 -1/3 |
7. a) Write the linear system as a matrix equation in the form AX=B
b) Solve the system using the inverse that is given for the coefficient matrix
X -y - z = 0 A-1 | 3 3 1 |
-2y -z = 1 | 4 -4 -1 |
4x = 3y = 2 |-8 7 2 |