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a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x1 - 8x2 - 6x3 = 8 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?

a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x1 - 8x2 - 6x3 = 8 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?

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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plz do not use the topics like rank, vector spaces, subspaces, column spaces, etc. or their associated theory to explain part C

a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). 6x3 = 8 x1 - 8x2 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?
Transcribed Image Text:a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). 6x3 = 8 x1 - 8x2 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?
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