(2x- y+2z =5 1. Solve the system using Cramer's Rule: 4x-3y=17 x-y+z=2 2x+6y-3z=-8 2. Solve the system by the inverse matrix method: -x-5y+6z=1 (-2y+4z=-2 3. Use Gauss' method and/or rank of matrix to justify that the given system has infinitely many solutions. Write the general solution and give one example of particular solution. x+y-3z=4 2x-3y+z=1 3x-2y-2z=5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2x- y+2z =5
1. Solve the system using
4x-3y 17
Cramer's Rule:
x-y+z=2
2x+6y-3z=-8
2. Solve the system by the
inverse matrix method:
-x-5y+6z=1
|-2y+4z=-2
3. Use Gauss' method and/or rank of matrix to justify
that the given system has infinitely many
Write the general solution and give one example of
particular solution.
solutions.
x+y-3z=4
2x-3y+z=1
3x-2y-2z=5
Transcribed Image Text:2x- y+2z =5 1. Solve the system using 4x-3y 17 Cramer's Rule: x-y+z=2 2x+6y-3z=-8 2. Solve the system by the inverse matrix method: -x-5y+6z=1 |-2y+4z=-2 3. Use Gauss' method and/or rank of matrix to justify that the given system has infinitely many Write the general solution and give one example of particular solution. solutions. x+y-3z=4 2x-3y+z=1 3x-2y-2z=5
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