Solve the system by using matrix reduction. 9w - 4x - 8y -3z = -4 15w - 12x -24y -21z = - 12 8w - 4x - 8y -4z = -4 9w + 4x + 8y +21z = 4. Find all solutions. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system has an infinite number of solutions characterized by w = . y =r, z=s, -8

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 62E
icon
Related questions
Question
100%
Solve the system by using matrix reduction.
9w
- 4x
- By
-3z =
-4
15w
- 12x -24y -21z =
- 12
8w
- 4x
- 8y
-4z =
-4
9w
+ 4x
+ 8y +21z =
4
Find all solutions. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The system has an infinite number of solutions characterized by w 3=
,y=r, z= s, - 00 <r, s< 0o.
O B. The system has an infinite number of solutions characterized by w =
. y =
,Z=r, - co <r< co.
O C. The system has a unique solution. The solution is w =
y%3D
O D. The system has no solution.
Transcribed Image Text:Solve the system by using matrix reduction. 9w - 4x - By -3z = -4 15w - 12x -24y -21z = - 12 8w - 4x - 8y -4z = -4 9w + 4x + 8y +21z = 4 Find all solutions. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system has an infinite number of solutions characterized by w 3= ,y=r, z= s, - 00 <r, s< 0o. O B. The system has an infinite number of solutions characterized by w = . y = ,Z=r, - co <r< co. O C. The system has a unique solution. The solution is w = y%3D O D. The system has no solution.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Matrix Factorization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning