5 (a) Find all solutions of each system of linear equations: x-3y - 22 7 2x - 5y + z = 5 -x+4y+62 = -15 3x - 2y + z = -14 (i) (b) Find the inverse of the matrix (ii) -1 2 x-3y - 2: 2x - 5y + z -x + 4y + 7 3x - 2y +29z 1-3 4-2 3-6 10-3 3-2 5 0 8 10 7 = 5 = -16 = -42

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve both parts by hand solution needed
5 (a) Find all solutions of each system of linear equations:
x - 3y - 2z =
7
5
2x - 5y + z
-x+4y+ 6z = -15
3x - 2y + z = -14
(i)
(b) Find the inverse of the matrix
(ii)
x-3y2z =
2x - 5y + z
-x+4y+ 7z = -16
3x - 2y +29z = -42
1-3
4-2
3-6 10 -3
-1 3-2 5
20 8 10
75
Transcribed Image Text:5 (a) Find all solutions of each system of linear equations: x - 3y - 2z = 7 5 2x - 5y + z -x+4y+ 6z = -15 3x - 2y + z = -14 (i) (b) Find the inverse of the matrix (ii) x-3y2z = 2x - 5y + z -x+4y+ 7z = -16 3x - 2y +29z = -42 1-3 4-2 3-6 10 -3 -1 3-2 5 20 8 10 75
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