Consider a basis for a space given by vectorsNote that you can type in square roots as "a^0.5"..1) Convert the basis to an orthogonal basis.The orthogonal basis will be:-10-10-10-2. Answer the following questions below: 2) Convert the basis to an orthonomal basis.The orthonormal basis will be:

Answered: Image /qna-images/answer/2218dad2-efd7-4b63-bbc0-e78c9c6e1b94.jpg

Answered: Consider a basis for a space given by…

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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Show that the vectors (4-3) and (5,2) form a basiS CF TR
To enter vectors use the less than symbols from the keyboard and separate the components with a comma. Find u +v = =A-npu Find 2u = %3D Check Answer
Either find the coordinates of the vector relative to basis B, or find the original vector from the coordinates relative to basis B. (a) v = (3,5,10); B = {(1,0,−1), (2, 1, −1), (-2, 1,4)} for R³. (b) v = (13,54); B = {(1,0), (0, 1)} for R². (c) [v]B = (10,-1, 4); B = {(1,0,−1), (2, 1, −1), (−2, 1,4)} for R³.
An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer monitors and 10,000 flat panel televisions, and facility B produces 4000 computer monitors and 18,000 flat panel televisions. (a) Give vectors a and b that give the weekly production amounts at A and B, respectively. a = 2000 10000 (b) Compute 6b. eBook 24000 108000 b = 4000 Describe what the entries tell us. 18000 The company produces 24000 5 3 computer monitors flat panel televisions computer monitors and 108000 (c) Determine the combined output from A and B over a 5-week period. computer monitors 30000 flat panel televisions 140000 flat panel televisions at facility B in 6 (d) Determine the number of weeks of production from A and B required to produce 32,000 monitors and 152,000 televisions. facility A X weeks facility B X weeks weeks.
Moving to the next question prevents changes to this answer. Question 1 Given the vectors A = 4a -10a-5a P B=a+2a-7a₂ Evaluate the following (-3)|A| 3a O-0.8477a - 19.6954a+28.9338a_ p O 2.9820a +0.9431a +37.5569a P 7 P O 2.1143a -22.5451a + 13.4991a o p P O 0.2345a +12.5643a-21.4043a A Moving to the next question prevents changes to this answer.
1 -4 5. List 5 vectors in the span of and -2 1 3.
Find a value of b so that 15i - 3j and -4i + bj are orthogonal.

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Consider a basis for a space given by vectors 1) Convert the basis to an orthogonal basis. 0 Note that you can type in square roots as "a^0.5". . The orthogonal basis will be: 0 -10 -4 2 -10 0 -2 6 . Answer the following questions below: