Solve the system below. 4y + 5z + 27w 23 - 5z + 25w 20 + 5w 4 The particular solution is: The solution set to the homogeneous system is: y + W || ||||

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 11CC
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Solve the system below.
4y +
5z +
27w
23
-
5z +
25w
+
5w
4
The particular solution is:
The solution set to the homogeneous system is:
у +
W
20
Transcribed Image Text:Solve the system below. 4y + 5z + 27w 23 - 5z + 25w + 5w 4 The particular solution is: The solution set to the homogeneous system is: у + W 20
Matrix B was obtained by row reducing matrix A.
6.
30
3 15
- 39
– 27
-
-
-
10
-1
– 13
- 9
A =
10
8
- 4
-
- 1
-1
- 5
- 5
-1 - 5 -1 -4
-1
- 3
150 3
– 4
-2
0 0 11
B =
0 0 00
0 0 00
0 0 0 0
What is the nullity of A (i.e. the dimension of the null space)?
Transcribed Image Text:Matrix B was obtained by row reducing matrix A. 6. 30 3 15 - 39 – 27 - - - 10 -1 – 13 - 9 A = 10 8 - 4 - - 1 -1 - 5 - 5 -1 - 5 -1 -4 -1 - 3 150 3 – 4 -2 0 0 11 B = 0 0 00 0 0 00 0 0 0 0 What is the nullity of A (i.e. the dimension of the null space)?
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