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(c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's for the weights. (d) What is interesting about your vectors *1 and 2 from (c)?

(c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's for the weights. (d) What is interesting about your vectors *1 and 2 from (c)?

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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answer c and d only, thank you

Directions: 1. At any time, you may reset the applet by pressing the refresh symbol in the top right. You can zoom out the applet by using your scroll wheel on your mouse inside the applet. You can drag inside the applet to see more to each side as well. 2. Do the given task below and answer the given questions using the REPLY button Task 1: You must use the given vectors 1 and 2. The only things that you can adjust are the weights C1 and C2 by moving the sliders left and right. Questions (a) What weights can we choose so that C₁1 C22 is the zero vector? (b) Are your weights from (a) unique, or are there other choices? If there are other choices, what is another choice? Task 2: Now you may choose your own vectors 1 and 2 by sliding the blue and green vertices, respectively. You can also still adjust the weights C1 and 2 by moving the sliders left and right. Questions (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's for the weights. (d) What is interesting about your vectors 1 and 2 from (c)? C C₁ = 2 10 C₂ = 3 C₁₁+ C₂₂ = (3) -14 -12 -10 -8 (3) -20 -18 -16 C₁1 2 C₂2= 3 = #₂ = C171 -6 -4 -2 0 -6 -8 2 0₁51+0₂5²₂ C₂t2 8 4 6 10 G
Transcribed Image Text:Directions: 1. At any time, you may reset the applet by pressing the refresh symbol in the top right. You can zoom out the applet by using your scroll wheel on your mouse inside the applet. You can drag inside the applet to see more to each side as well. 2. Do the given task below and answer the given questions using the REPLY button Task 1: You must use the given vectors 1 and 2. The only things that you can adjust are the weights C1 and C2 by moving the sliders left and right. Questions (a) What weights can we choose so that C₁1 C22 is the zero vector? (b) Are your weights from (a) unique, or are there other choices? If there are other choices, what is another choice? Task 2: Now you may choose your own vectors 1 and 2 by sliding the blue and green vertices, respectively. You can also still adjust the weights C1 and 2 by moving the sliders left and right. Questions (c) Give an example of a linear combination that resulted in the zero vector that did NOT have O's for the weights. (d) What is interesting about your vectors 1 and 2 from (c)? C C₁ = 2 10 C₂ = 3 C₁₁+ C₂₂ = (3) -14 -12 -10 -8 (3) -20 -18 -16 C₁1 2 C₂2= 3 = #₂ = C171 -6 -4 -2 0 -6 -8 2 0₁51+0₂5²₂ C₂t2 8 4 6 10 G
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