Let u = (-2, 3), v = (1, −1) and A - NOTE: Give exact answers. (a) Find ||u|| relative to the inner product on R² generated by the matrix A. || ૪ || = √5 X (b) Find d(u, v) relative to the inner product on R² generated by the matrix A. d(u, v) 1 2 2 = 2 √30 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 67E
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Let u = (-2,3), v = (1, −1) and A = | 123
3
2
NOTE: Give exact answers.
(a) Find ||u|| relative to the inner product on R² generated by the
matrix A.
||= √5
|| u ||
X
(b) Find d(u, v) relative to the inner product on R² generated by the
matrix A.
d(u, v) = 2√30
X
Transcribed Image Text:Let u = (-2,3), v = (1, −1) and A = | 123 3 2 NOTE: Give exact answers. (a) Find ||u|| relative to the inner product on R² generated by the matrix A. ||= √5 || u || X (b) Find d(u, v) relative to the inner product on R² generated by the matrix A. d(u, v) = 2√30 X
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