Question 6 Solve the following systems of equations by first row reducing to reduced row echelon form. (a) 2x + Y = 3 4x + У == 7 2x + 5y -1 (b) X + 2y + 7z = 5 X + У + 4z = │ -x | - (c) (d) 2x + 3y + х -x 2x x - + ― 3y 2y + Z = + 4y + 6z + 2y + 2x+4y א Z Z 2y + 2z + 11z = || || 37 པ་ 2z = 0 0 20 = 0 3 = + 4w = -1 5w = 5

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.
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Question 6
Solve the following systems of equations by first row reducing to reduced row echelon form.
(a) 2x +
Y
=
3
4x
+ У
==
7
2x
+
5y
-1
(b)
X
+ 2y
+
7z
= 5
X + У
+
4z
=
│
-x
|
-
(c)
(d)
2x + 3y +
х
-x
2x
x
-
+
―
3y
2y +
Z =
+ 4y + 6z
+ 2y +
2x+4y
א
Z
Z
2y +
2z
+
11z =
|| ||
37
པ་
2z
=
0
0
20
=
0
3
=
+
4w
=
-1
5w
=
5
Transcribed Image Text:Question 6 Solve the following systems of equations by first row reducing to reduced row echelon form. (a) 2x + Y = 3 4x + У == 7 2x + 5y -1 (b) X + 2y + 7z = 5 X + У + 4z = │ -x | - (c) (d) 2x + 3y + х -x 2x x - + ― 3y 2y + Z = + 4y + 6z + 2y + 2x+4y א Z Z 2y + 2z + 11z = || || 37 པ་ 2z = 0 0 20 = 0 3 = + 4w = -1 5w = 5
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