In Exercises 47-50, write v as a linear combination of u, u,, and u, if possible. 47. u, = (2, 3, 5), u = (1, 2, 4), uz = (-2, 2, 3), v (10, 1, 4) %3D

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In Exercises 47-50, write v as a linear combination of u,, u,
if possible.
and
47. u, = (2, 3, 5), u2 = (1, 2, 4), uz = (-2, 2, 3),
v = (10, 1, 4)
48. u, = (1, 3, 5), u2 = (2, – 1, 3), u, = (-3, 2, –4),
v = (-1,7, 2)
49. u, = (1, 1, 2, 2), u2 = (2, 3, 5, 6), uz = (-3, 1, -4, 2),
v = (0, 5, 3, 0)
50. u, = (1, 3, 2, 1), u2 = (2, - 2, – 5, 4), uz = (2, – 1, 3, 6),
v = (2, 5, -4, 0)
%3D
%3D
%3D
%3D
%3D
Transcribed Image Text:In Exercises 47-50, write v as a linear combination of u,, u, if possible. and 47. u, = (2, 3, 5), u2 = (1, 2, 4), uz = (-2, 2, 3), v = (10, 1, 4) 48. u, = (1, 3, 5), u2 = (2, – 1, 3), u, = (-3, 2, –4), v = (-1,7, 2) 49. u, = (1, 1, 2, 2), u2 = (2, 3, 5, 6), uz = (-3, 1, -4, 2), v = (0, 5, 3, 0) 50. u, = (1, 3, 2, 1), u2 = (2, - 2, – 5, 4), uz = (2, – 1, 3, 6), v = (2, 5, -4, 0) %3D %3D %3D %3D %3D
equal?
25,6) a
In Exercises 47-50, write v as a linear combination of u,, u,, and u,,
if possible.
47. u, = (2, 3, 5), u2 = (1, 2, 4), uz = (-2, 2, 3),
v = (10, 1, 4)
48. u, (1, 3, 5), u, = (2, - 1, 3), uz = (-3, 2, –4),
v = (-1,7, 2)
49. u, (1, 1, 2, 2), u2 = (2, 3, 5, 6), uz = (-3, 1, – 4, 2),
v = (0, 5, 3, 0)
50. u, (1, 3, 2, 1), u, = (2, – 2, – 5, 4), uz = (2, – 1, 3, 6),
v = (2, 5,-4, 0)
%3D
%3D
3(2,-1, 3), uz = (-3, 2, -4),
%3D
%3D
%3D
%3D
%3D
%3D
%3D
Transcribed Image Text:equal? 25,6) a In Exercises 47-50, write v as a linear combination of u,, u,, and u,, if possible. 47. u, = (2, 3, 5), u2 = (1, 2, 4), uz = (-2, 2, 3), v = (10, 1, 4) 48. u, (1, 3, 5), u, = (2, - 1, 3), uz = (-3, 2, –4), v = (-1,7, 2) 49. u, (1, 1, 2, 2), u2 = (2, 3, 5, 6), uz = (-3, 1, – 4, 2), v = (0, 5, 3, 0) 50. u, (1, 3, 2, 1), u, = (2, – 2, – 5, 4), uz = (2, – 1, 3, 6), v = (2, 5,-4, 0) %3D %3D 3(2,-1, 3), uz = (-3, 2, -4), %3D %3D %3D %3D %3D %3D %3D
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