Explanation Given: 2 x + y = − 4 , − 2 x + 4 z = 0 , and 3 x − 2 z = − 11 Formula used: Use row operations to reduce the augmented matrix into row echelon form. Calculation: 2 x + y = − 4 , − 2 x + 4 z = 0 , and 3 x − 2 z = − 11 Find the augmented matrix from the above set of equations. [ 2 1 0 − 2 0 4 3 0 − 2 | 4 0 − 11 ] Now, apply the following row operations. [ 2 1 0 − 2 0 4 3 0 − 2 | − 4 0 − 11 ] R 1 → R 1 2 and R 2 → R 2 2 [ 1 1 2 0 − 1 0 2 3 0 − 2 | − 2 0 − 11 ] R 2 → R 1 + R 2 and R 3 → R 3 − 3 R 1 [ 1 1 2 0 0 1 2 2 0 −

College Algebra Plus MyLab Math with eText -- Access Card Package (10th Edition) (Sullivan & Sullivan Precalculus Titles)

10th Edition

ISBN: 9780321979490

Author: Michael Sullivan

Publisher: PEARSON

See similar textbooks

Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

Videos

Question

Chapter 8.2, Problem 50SB

To determine

To find: The solution of system of equations $2 x + y = - 4$ , $- 2 x + 4 z = 0$ and $3 x - 2 z = - 11$ using matrices (row operations).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.2, Problem 49SB

Chapter 8.2, Problem 51SB

Students have asked these similar questions

Round as specified A) 257 down to the nearest 10’s place B) 650 to the nearest even hundreds, place C) 593 to the nearest 10’s place D) 4157 to the nearest hundreds, place E) 7126 to the nearest thousand place

Estimate the following products in two different ways and explain each method A) 52x39 B) 17x74 C) 88x11 D) 26x42

Find a range estimate for these problems A) 57x1924 B) 1349x45 C) 547x73951

Chapter 8 Solutions

College Algebra Plus MyLab Math with eText -- Access Card Package (10th Edition) (Sullivan & Sullivan Precalculus Titles)

Ch. 8.1 - Solve the equation: 3x+4=8x (pp. 82-85)Ch. 8.1 - a. Graph the line: 3x+4y=12 . b. What is the slope...Ch. 8.1 - If a system of equations has no solution, it is...Ch. 8.1 - Prob. 4CV Ch. 8.1 - If the only solution to a system of two linear...Ch. 8.1 - Prob. 6CV Ch. 8.1 - Prob. 7CV Ch. 8.1 - If a system of dependent equations containing...Ch. 8.1 - In Problems 9-18, verify that the values of the...Ch. 8.1 - Prob. 10CV

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The solution of system of equations 2 x + y = − 4 , − 2 x + 4 z = 0 and 3 x − 2 z = − 11 using matrices (row operations).

Solution Summary: The author explains how to find the solution of the given equations using matrices (row operations).

Concept explainers

Videos

To find: The solution of system of equations $2 x + y = - 4$ , $- 2 x + 4 z = 0$ and $3 x - 2 z = - 11$ using matrices (row operations).

Want to see the full answer?

Chapter 8 Solutions

The solution of system of equations 2 x + y = − 4 , − 2 x + 4 z = 0 and 3 x − 2 z = − 11 using matrices (row operations).

Solution Summary: The author explains how to find the solution of the given equations using matrices (row operations).

Concept explainers

Videos

To find: The solution of system of equations 2x + y = −4 , −2x + 4z = 0 and 3x − 2z = −11 using matrices (row operations).

Want to see the full answer?

Chapter 8 Solutions

To find: The solution of system of equations $2 x + y = - 4$ , $- 2 x + 4 z = 0$ and $3 x - 2 z = - 11$ using matrices (row operations).