(ii) Assume that d = in E-coordinates and 7 in B-coordinates. y' Find a' and y' expressed in x and y. (...

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
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i need help with question ii)

(ii) Assume that 7
in E-coordinates and 7
y'
in B-coordinates.
Find x' and y' expressed in x and y.
(iii) Find the equation for the hyperbola ry = 1 in (x', y')-coordinates, if
0 = 4.
Transcribed Image Text:(ii) Assume that 7 in E-coordinates and 7 y' in B-coordinates. Find x' and y' expressed in x and y. (iii) Find the equation for the hyperbola ry = 1 in (x', y')-coordinates, if 0 = 4.
a. Let 0, where 0 < 0 < 2r, be an angle given in radians. Let B = {T1, 72},
where
[cos e
sin 0]
cos 0
l2 =
sin 0
Let E be the standard basis for R?.
(i) Calculate the change-of-coordinates matrices PB-»ɛ and Pɛ»B.
Transcribed Image Text:a. Let 0, where 0 < 0 < 2r, be an angle given in radians. Let B = {T1, 72}, where [cos e sin 0] cos 0 l2 = sin 0 Let E be the standard basis for R?. (i) Calculate the change-of-coordinates matrices PB-»ɛ and Pɛ»B.
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