3. Given the homogeneous system of linear equations, find 16x1 + 24r2 + 8r, - 32r4 = 4r1 + 6x2 + 2xa - 8r4 2r1 + 3r2 + r3 - 4r4 = 0 = 0 (a) a basis and (b) the dimension of the solution space.

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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3. Given the homogeneous system of linear equations, find
1621 + 24r2 + 8r, - 32r4 =
4x1 + 6x2 + 2xa - 824
2r1 + 3r2 + r3 - 4r4
= 0
= 0
(a) a basis and
(b) the dimension of the solution space.
Transcribed Image Text:3. Given the homogeneous system of linear equations, find 1621 + 24r2 + 8r, - 32r4 = 4x1 + 6x2 + 2xa - 824 2r1 + 3r2 + r3 - 4r4 = 0 = 0 (a) a basis and (b) the dimension of the solution space.
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