LINEAR ALGEBRA: MODERN INTRO
4th Edition
ISBN: 9780357539262
Author: POOLE
Publisher: CENGAGE L
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|u| = |v| is equivalent to u =.
or u =
Let u = and v=.
(a) Find ||u||.
(b) Find u – 3v.
Let u = (6,0, -2) and Vf(a) = (-2,0,-8).
What is the value of Du[f] (a)?
Du f(a) = Number
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- Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are linearly dependent in the vector space C[0,1], but linearly independent in C[1,1].arrow_forwardLet u and v be u = [3,0,3] and v = [1, 1, 4]. Verify that: |u x vl? = |u|?|v|? – (u · v)? (c)arrow_forwardIf |ū| = 4, |v|= 5, |ū - v=6, determine |ū+v|.arrow_forward
- Let u = (-3, 1) and v = (0,3). Compute the following: u.v= • = | | i|| 2 = −1 (u · v) • (−1ū) · v ū⋅ (−1v) • ( u · v) v = • = =arrow_forwardLet X-(1,0,- 1,-V2)'. Then, |X|l3= Select one: a. V2+2/2 O b. V2+V9 С. 2 d. 2-V2 earch DOLLarrow_forwardGiven u = (0,1, -1,2) and v = (1,1,3,0) find ||u + v||arrow_forward
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