S = {(-4,-3, 6), (3, -2, 1), (9, 0, 0)} Solve for C₁, C₂, and c3 in the following equation. If a nontrivial solution exists, state it or state the general solution in terms of the parameter t. (If only the trivial solution exists, enter the trivial solution (C₁, C₂, C3} = {0, 0, 0).) C₁(-4,-3, 6)+ C₂(3, -2, 1) + c3(9, 0, 0) = (0, 0, 0) ›-{[ {C1 C2, C3} = Determine whether the set S is linearly independent or linearly dependent. linearly independent linearly dependent
S = {(-4,-3, 6), (3, -2, 1), (9, 0, 0)} Solve for C₁, C₂, and c3 in the following equation. If a nontrivial solution exists, state it or state the general solution in terms of the parameter t. (If only the trivial solution exists, enter the trivial solution (C₁, C₂, C3} = {0, 0, 0).) C₁(-4,-3, 6)+ C₂(3, -2, 1) + c3(9, 0, 0) = (0, 0, 0) ›-{[ {C1 C2, C3} = Determine whether the set S is linearly independent or linearly dependent. linearly independent linearly dependent
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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Transcribed Image Text:Consider the following set.
S = {(-4, −3, 6), (3, −2, 1), (9, 0, 0)}
Solve for
C1, C2,
and C3 in the following equation. If a nontrivial solution exists, state it or state the general solution in terms of the parameter t. (If only the trivial solution exists, enter the trivial
solution {C₁, C₂, C3} = {0, 0, 0}.)
c₁(-4,-3, 6) + C₂(3, -2, 1) + c3(9, 0, 0) = (0, 0, 0)
{C₁, C₂, C3} = {
Determine whether the set S is linearly independent or linearly dependent.
linearly independent
linearly dependent
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