Let u =< 8, 8, −8 >, 7 =< 8,0,8 > and = 16, 32, 0 >. Now, < 120, 128, 8> is a linear combination of u, v and w. That is, x = a₁ + a₂ + açw. Determine a₁, a2 and a3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let u =< 8, 8, 8>, < 8, 0,8 >
and
=< 16, 32, 0 >.
Now, < 120, 128, 8 > is a linear combination
of u, vand u.
That is, t = a₁ữ + a₂v + azw.
Determine a₁, a2 and a3
a1
a2
a3
II
Transcribed Image Text:Let u =< 8, 8, 8>, < 8, 0,8 > and =< 16, 32, 0 >. Now, < 120, 128, 8 > is a linear combination of u, vand u. That is, t = a₁ữ + a₂v + azw. Determine a₁, a2 and a3 a1 a2 a3 II
Let ủ =< 4, 3 > and 7 =< 5, 4 >.
Now, w< 4,4 > a linear combination
of u and v.
That is, w = a₁ + a₂. Determine a₁ and a₂.
a1=
a2=
Transcribed Image Text:Let ủ =< 4, 3 > and 7 =< 5, 4 >. Now, w< 4,4 > a linear combination of u and v. That is, w = a₁ + a₂. Determine a₁ and a₂. a1= a2=
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