Find the general solution of the linear system whose augmented matrix is the following. 1 0 4 0 0 9 0 0 0 0 3 0 0 1 7 -60 7 -2 1 -1 -6 3 -11 a. Select the pivot column(s) from the list below. Column 1 Column 2 Column 3 Column 4 Column 5 Column 6 b. Select the basic variable(s) from the list below. X1 X2 X3 X4 X5 c. Select the free variable(s) from the list below. X1 X2 X3 X4 X5 00 00 d. State the general solution of the system, writing basic variables in terms of the free variables. If a variable is a free variable, write "free" (without the quotes). X1 x2 = x3 X4= X5 = =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 10E
icon
Related questions
Question

please answer all the parts from A-D

Find the general solution of the linear system whose augmented matrix is the following.
1
0
4 0 0 9
0
0
0
0 3 0
0
1
7
-2 1
6 3 -11
7
a. Select the pivot column(s) from the list below.
X1 X2 X3 X4 X5
-1
Column 1 Column 2 Column 3 Column 4 Column 5 Column 6
-60
b. Select the basic variable(s) from the list below.
X1 X2 X3 X4 X5
c. Select the free variable(s) from the list below.
=
d. State the general solution of the system, writing basic variables in terms of the free variables.
If a variable is a free variable, write "free" (without the quotes).
x1 =
x2 =
x3 =
X4
X 5 =
Transcribed Image Text:Find the general solution of the linear system whose augmented matrix is the following. 1 0 4 0 0 9 0 0 0 0 3 0 0 1 7 -2 1 6 3 -11 7 a. Select the pivot column(s) from the list below. X1 X2 X3 X4 X5 -1 Column 1 Column 2 Column 3 Column 4 Column 5 Column 6 -60 b. Select the basic variable(s) from the list below. X1 X2 X3 X4 X5 c. Select the free variable(s) from the list below. = d. State the general solution of the system, writing basic variables in terms of the free variables. If a variable is a free variable, write "free" (without the quotes). x1 = x2 = x3 = X4 X 5 =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning