Let u = (−3, 2), v = (3, −2) and A = - [ i]. 1 4 NOTE: Give exact answers. | (a) Find ||u|| relative to the inner product on R² generated by the matrix A. || u || = (b) Find d(u, v) relative to the inner product on R² generated by the matrix A. d(u, v) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let u = =
1
(-3,2), v = (3,-2) and A = [
NOTE: Give exact answers.
(a) Find ||u|| relative to the inner product on R² generated by the
matrix A.
|| u ||
=
1
4
(b) Find d(u, v) relative to the inner product on R2 generated by the
matrix A.
d(u, v)
=
Transcribed Image Text:Let u = = 1 (-3,2), v = (3,-2) and A = [ NOTE: Give exact answers. (a) Find ||u|| relative to the inner product on R² generated by the matrix A. || u || = 1 4 (b) Find d(u, v) relative to the inner product on R2 generated by the matrix A. d(u, v) =
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