26 5G II. 8:44 ☐ myportal.aum.edu.kw ENGLISH العربية RH Problem 2 [20 points]: Find the Reduced Row 1 4 7 Echelon Form of the matrix -1 0-1 3 04 Problem 3 [30 points]: Consider the following linear system: x+2y=1 -2x+2my=0 a) Write the linear system in the matrix form: A.X=b. b) For m=1, find the inverse of A, using the definition of the inverse. In this case, deduce the solution of the system. c) Use the definition of the inverse to find the values of m for which A is not invertible. 7 A▾ III G B I Ff▾ < ↑

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 83E: Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.
Question
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26 5G II.
8:44
☐ myportal.aum.edu.kw
ENGLISH
العربية
RH
Problem 2 [20 points]: Find the Reduced Row
1 4 7
Echelon Form of the matrix -1 0-1
3 04
Problem 3 [30 points]: Consider the following
linear system:
x+2y=1
-2x+2my=0
a) Write the linear system in the matrix form:
A.X=b.
b) For m=1, find the inverse of A, using the
definition of the inverse. In this case, deduce the
solution of the system.
c) Use the definition of the inverse to find the
values of m for which A is not invertible.
7 A▾
III
G
B I
Ff▾
<
↑
Transcribed Image Text:26 5G II. 8:44 ☐ myportal.aum.edu.kw ENGLISH العربية RH Problem 2 [20 points]: Find the Reduced Row 1 4 7 Echelon Form of the matrix -1 0-1 3 04 Problem 3 [30 points]: Consider the following linear system: x+2y=1 -2x+2my=0 a) Write the linear system in the matrix form: A.X=b. b) For m=1, find the inverse of A, using the definition of the inverse. In this case, deduce the solution of the system. c) Use the definition of the inverse to find the values of m for which A is not invertible. 7 A▾ III G B I Ff▾ < ↑
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