x+ y- z=0 2x – 3y + z= 0 x- 4y + 2z = 0 (a)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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ANSWER THE FOLLOWING 9

9. Detemine whether or mt each of the following homogeneous systems has a norzeID
solution. If the systemhas nontrivial solution, provide it.
x+ y- z= 0
2x – 3y + z= 0
x- 4y + 2z = 0
(a)
x+ y- z= 0
2x + 4y - z=0
3x+ 2y + 2z = 0
(b)
X + 2x, - 3x, +4x4 = 0
2x, – 3x + 5x3 - 7x4 0
5x, + 6x – 9x3 + &x, = 0
(c)
Transcribed Image Text:9. Detemine whether or mt each of the following homogeneous systems has a norzeID solution. If the systemhas nontrivial solution, provide it. x+ y- z= 0 2x – 3y + z= 0 x- 4y + 2z = 0 (a) x+ y- z= 0 2x + 4y - z=0 3x+ 2y + 2z = 0 (b) X + 2x, - 3x, +4x4 = 0 2x, – 3x + 5x3 - 7x4 0 5x, + 6x – 9x3 + &x, = 0 (c)
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