For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. p-8q 4p + 2r -8q+3r - 6p+ 12r : p, q, r in R (a) Find a basis for the subspace. A basis for the subspace is . (Use a comma to separate answers as needed.)

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Chapter2: Second-order Linear Odes
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For the subspace below, (a) find a basis for the subspace, and (b) state the dimension.
p-8q
4p + 2r
-8q + 3r
- 6p+ 12r
: p, q, r in R
(a) Find a basis for the subspace.
A basis for the subspace is .
(Use a comma to separate answers as needed.)
Transcribed Image Text:For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. p-8q 4p + 2r -8q + 3r - 6p+ 12r : p, q, r in R (a) Find a basis for the subspace. A basis for the subspace is . (Use a comma to separate answers as needed.)
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