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5. Write the solution set of the given homogeneous system in parametric vector form. X1 2x2 2x3 + 2x4 + 4x5 = 0 3x1 x2 + 4x3 = 0 (a) {² 2x3 (b) 9x1 3x2 + 10x3 = 0 2x5 0 = 0 x4 - 2x5 6x1 2x2 + 8x3 = 0 6. In the following exercises determine if the vectors are linearly independent. 2 1 3 11 2 (b) ACO (a) 2 3 -3 -7 1 (c) 4 " - 3 2 0 TOH 1

5. Write the solution set of the given homogeneous system in parametric vector form. X1 2x2 2x3 + 2x4 + 4x5 = 0 3x1 x2 + 4x3 = 0 (a) {² 2x3 (b) 9x1 3x2 + 10x3 = 0 2x5 0 = 0 x4 - 2x5 6x1 2x2 + 8x3 = 0 6. In the following exercises determine if the vectors are linearly independent. 2 1 3 11 2 (b) ACO (a) 2 3 -3 -7 1 (c) 4 " - 3 2 0 TOH 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Write the solution set of the given homogeneous system in parametric vector form. - 2x2 - X1 - 2x3 + 2x4 + 4x5 = 0 x2 3x1 x₂ + 4x3 = 0 3x2 + 10x3 0 (a) 2x3 - 2x5 0 - (b) 9x1 = = X4 - 2x5 = 0 6x₁ - 2x2 + 2x2 + 8x3 = 0 6. In the following exercises determine if the vectors are linearly independent. 2 3 11 2 (b) 490 (a) 1 2 3 5 1 - (c) 2 4 -2 4 2 - 2 3 3 - - = 3 2 -3 0 0 1 1
Transcribed Image Text:5. Write the solution set of the given homogeneous system in parametric vector form. - 2x2 - X1 - 2x3 + 2x4 + 4x5 = 0 x2 3x1 x₂ + 4x3 = 0 3x2 + 10x3 0 (a) 2x3 - 2x5 0 - (b) 9x1 = = X4 - 2x5 = 0 6x₁ - 2x2 + 2x2 + 8x3 = 0 6. In the following exercises determine if the vectors are linearly independent. 2 3 11 2 (b) 490 (a) 1 2 3 5 1 - (c) 2 4 -2 4 2 - 2 3 3 - - = 3 2 -3 0 0 1 1
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