Problem 3. (a) Find a basis of a subspace U in R' given by a system: T1- 2 + 2.r3+r1 1-12+3r3 + 2x, = 0 (b) Extend the basis constructed in (a) by adding one more vector to get basis of the subspace W, which is a solution space for r,-r2+2r3+1 =0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 3. (a) Find a basis of a subspace U in R given by a system:
S21- 2+2r3+z, = 0
- 12 + 3r3 + 2z, =0
(b) Extend the basis constructed in (a) by adding one more vector to get
a basis of the subspace W, which is a solution space for r-T2+2r3+4 = 0.
Transcribed Image Text:Problem 3. (a) Find a basis of a subspace U in R given by a system: S21- 2+2r3+z, = 0 - 12 + 3r3 + 2z, =0 (b) Extend the basis constructed in (a) by adding one more vector to get a basis of the subspace W, which is a solution space for r-T2+2r3+4 = 0.
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