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7. Consider the subset S of R³, S = {(x, y, z) | 2.x – y + 3z = 0}. Show that S is a subspace and find a basis.

7. Consider the subset S of R³, S = {(x, y, z) | 2.x – y + 3z = 0}. Show that S is a subspace and find a basis.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. Consider the subset S of R³, S = {(x, y, z) | 2x – y + 3z = 0}. Show that S is a subspace and find a basis.
Transcribed Image Text:7. Consider the subset S of R³, S = {(x, y, z) | 2x – y + 3z = 0}. Show that S is a subspace and find a basis.
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