Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in matrix form and row-reduced, we obtain the following: 1 -5 U1 U2 Из 1 2 0 Choose all of the following statements that are true. Please note that there may be more than one correct answer. U1 = (1,0,0), u2 = (0, 1, 0). and uz = (-5, 2,0) O C3 is the only free variable. The set S {u1, U2, U3 } is linearly dependent. O C1 and C2 are the only free variables. 2u2 %3D U3 -5u1 + 2u2
Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in matrix form and row-reduced, we obtain the following: 1 -5 U1 U2 Из 1 2 0 Choose all of the following statements that are true. Please note that there may be more than one correct answer. U1 = (1,0,0), u2 = (0, 1, 0). and uz = (-5, 2,0) O C3 is the only free variable. The set S {u1, U2, U3 } is linearly dependent. O C1 and C2 are the only free variables. 2u2 %3D U3 -5u1 + 2u2
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:Let U1, U2, and Uz be distinct vectors in R³. When the equation c1u1 + C2U2 + c3U3 = 0 is written in
matrix form and row-reduced, we obtain the following:
1
-5
U1
U2
Из
1
2 0
Choose all of the following statements that are true. Please note that there may be more than one correct
answer.
U1 =
(1,0,0), u2 = (0, 1, 0). and uz = (-5, 2,0)
O C3 is the only free variable.
The set S
{u1, U2, U3 } is linearly dependent.
O C1 and C2 are the only free variables.
2u2
%3D
U3
-5u1 + 2u2
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