Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) X₁ X₂ + 5x3 = 0 4x₁ - 5x₂ - X3 = 0 DNE dimension basis ↓ 1 X

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Chapter2: Second-order Linear Odes
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Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.)
x1 − x2 + 5x3  =  0
4x1 − 5x2 − x3  =  0
Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.)
x₁ - x₂ + 5x3 = 0
4X1
5x₂
X3 = 0
dimension
basis
DNE
X
Transcribed Image Text:Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) x₁ - x₂ + 5x3 = 0 4X1 5x₂ X3 = 0 dimension basis DNE X
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