2. Determine a basis for and the dimension of the solution space of the homogeneous system X3 + X4 + X5 = 0 -x1 – x2 + 2x3 – 3x4 + x5 = 0 X1 + x2 – 2x3 - X5 = 0 2х, + 2x2 — Хз + X5

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 11CM
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2. Determine a basis for and the dimension of the solution space of the homogeneous
system
X3 + X4 + X5 = 0
-x1 – x2 + 2x3 – 3x4 + x5 = 0
X1 + x2 – 2x3
- X5 = 0
2х, + 2x2 — Хз
+ X5
Transcribed Image Text:2. Determine a basis for and the dimension of the solution space of the homogeneous system X3 + X4 + X5 = 0 -x1 – x2 + 2x3 – 3x4 + x5 = 0 X1 + x2 – 2x3 - X5 = 0 2х, + 2x2 — Хз + X5
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