Consider the vectors z1(t) = and za(t) = .Which of the following statements is true about W(z,(t), z2(t)), the Wronskian of z (t) and z3(t)? Select one: W (2, (t), z(t)) = e" – 2e', therefore z,(t) and za(t) are linearly dependent. W (z,(t), z2(t)) =1- 2e, therefore z,(t) and za(t) are linearly independent. W(z,(t), z2(t)) = e - 2e, therefore z (t) and z3(t) are linearly independent. W(2,(t), zz(t)) =1+ 2e, therefore z, (t) and zg(t) are linearly independent. W (z,(t), z(t)) -1+2e', therefore z,(t) and a(t) are linearly dependent.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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Consider the vectors z1(t) =
and za(t) =
.Which of the following statements is true about W(z,(t), z2(t)), the Wronskian of z (t) and z3(t)?
Select one:
W (2, (t), z(t)) = e" – 2e', therefore z,(t) and za(t) are linearly dependent.
W (z,(t), z2(t)) =1- 2e, therefore z,(t) and za(t) are linearly independent.
W(z,(t), z2(t)) = e - 2e, therefore z (t) and z3(t) are linearly independent.
W(2,(t), zz(t)) =1+ 2e, therefore z, (t) and zg(t) are linearly independent.
W (2,(t), z(t)) =1+ 2e, therefore z, (t) and ra(t) are linearly dependent.
Transcribed Image Text:Consider the vectors z1(t) = and za(t) = .Which of the following statements is true about W(z,(t), z2(t)), the Wronskian of z (t) and z3(t)? Select one: W (2, (t), z(t)) = e" – 2e', therefore z,(t) and za(t) are linearly dependent. W (z,(t), z2(t)) =1- 2e, therefore z,(t) and za(t) are linearly independent. W(z,(t), z2(t)) = e - 2e, therefore z (t) and z3(t) are linearly independent. W(2,(t), zz(t)) =1+ 2e, therefore z, (t) and zg(t) are linearly independent. W (2,(t), z(t)) =1+ 2e, therefore z, (t) and ra(t) are linearly dependent.
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