Find the representation of (-5, 5, 1) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>. a. Represent the vector (-5, 5, 1) in terms of the ordered basis B = (1.j.k). [(-5,5,1)]B= b. Represent the vector (-5, 5, 1) in terms of the ordered basis C = {ē3,e1,e2}. [(-5,5,1)]c= c. Represent the vector (-5, 5, 1) in terms of the ordered basis D = (-2,-21, 23). [(-5,5,1)]D=

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the representation of (-5, 5, 1) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>.
a. Represent the vector (-5, 5, 1) in terms of the ordered basis B = {ï,j,k}.
[(-5, 5, 1)]B=
b. Represent the vector (-5,5, 1) in terms of the ordered basis C = (ē3, ē1, ë2).
[(-5, 5, 1)]c =
c. Represent the vector (-5, 5, 1) in terms of the ordered basis D = {-2, -ē1, ē3}.
[(-5, 5, 1)]D=
Transcribed Image Text:Find the representation of (-5, 5, 1) in each of the following ordered bases. Your answers should be vectors of the general form <1,2,3>. a. Represent the vector (-5, 5, 1) in terms of the ordered basis B = {ï,j,k}. [(-5, 5, 1)]B= b. Represent the vector (-5,5, 1) in terms of the ordered basis C = (ē3, ē1, ë2). [(-5, 5, 1)]c = c. Represent the vector (-5, 5, 1) in terms of the ordered basis D = {-2, -ē1, ē3}. [(-5, 5, 1)]D=
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