2x + y + 6z = 7 3x + 4y + 3z = -8 x - 2y4z = 9

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 24CM: Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points...
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1. Solve each linear system below. Give a geometric interpretation of each system, by describing
the orientation of the planes in 3-space.
a) 2x + y + 6z = 7
b) x - 5y + 2z - 10 = 0
3x + 4y + 3z = -8
x + 7y-2z+6=0
x - 2y - 4z = 9
8x + 5y +z - 20 = 0
c) 2x+y=z=10
d) x + 3y -z = -10
-4x - 2y + 2z + 10 = 0
2x + y + z = 8
2xy + 5z = 3
x - 2y + 2z = −4
Transcribed Image Text:1. Solve each linear system below. Give a geometric interpretation of each system, by describing the orientation of the planes in 3-space. a) 2x + y + 6z = 7 b) x - 5y + 2z - 10 = 0 3x + 4y + 3z = -8 x + 7y-2z+6=0 x - 2y - 4z = 9 8x + 5y +z - 20 = 0 c) 2x+y=z=10 d) x + 3y -z = -10 -4x - 2y + 2z + 10 = 0 2x + y + z = 8 2xy + 5z = 3 x - 2y + 2z = −4
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