(a) To verify: Whether x = − 1 , y = 0 , z = 1 is a solution of the system of linear equations { x + 2 y + 6 z = 5 − 3 x − 6 y + 5 z = 8 2 x + 6 y + 9 z = 7 .

Question

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Answer 1

Question

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

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Answer 2

Question

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

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Answer 3

Question

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

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Answer 4

Question

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

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Answer 5

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 6

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 7

Chapter 11.4, Problem 68E

To determine

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 8

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 9

To determine

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 10

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 11

To determine

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 12

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 13

To determine

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 11.1 - If a system of linear equations has infinitely...Ch. 11.1 - Write the augmented matrix of the following system...Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - 5-10 Dimension of a Matrix State the dimension of...Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

(a) To verify: Whether x = − 1 , y = 0 , z = 1 is a solution of the system of linear equations { x + 2 y + 6 z = 5 − 3 x − 6 y + 5 z = 8 2 x + 6 y + 9 z = 7 .

Solution Summary: The author explains that the solutions to a system of linear equations satisfies all the lines in the system. The determinant of the coefficient matrix is found.

Videos

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Want to see the full answer?

Chapter 11 Solutions

(a) To verify: Whether x = − 1 , y = 0 , z = 1 is a solution of the system of linear equations { x + 2 y + 6 z = 5 − 3 x − 6 y + 5 z = 8 2 x + 6 y + 9 z = 7 .

Solution Summary: The author explains that the solutions to a system of linear equations satisfies all the lines in the system. The determinant of the coefficient matrix is found.

Videos

(a) To verify: Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(b) To find: The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(c) Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(d) Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

Want to see the full answer?

Chapter 11 Solutions

(a)

To verify:

Whether x=−1, y=0, z=1 is a solution of the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(b)

To find:

The determinant of the coefficient matrix for the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(c)

Whether there are any other solutions of the system on linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.

(d)

Whether Cramer’s Rule be used to solve the system of linear equations {x+2y+6z=5−3x−6y+5z=82x+6y+9z=7.