b, = b2 = , b3 = - 17 , and S = {b,,b2,b3}. Note that S is an orthogonal basis for R3. Wri - 4 13 16 - 8 a. P1 b. P2 14 14 с. Рз -3 16 19 Vrite p, as an affine combination of the points in the set S, if possible. Select the correct choice below and,i

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
4
Let b1
- 17
and S= {b, ,b2,b3}. Note that S is an orthogonal basis for R3. Write each of the given points as an affine combination of the points in the set S, if possible.
%3D
1
- 4
13
16
- 8
a. p, =
- 14
b. P2 =
- 14
c. P3 =
- 3
16
4
19
.....
a. Write p, as an affine combination of the points in the set S, if possible. Select the correct choice below and,
necessary, fill in the answer boxes within your choice.
O A.
P1
b, + (O b2 + (O b3
=
1
O B. It is not possible to write p, as an affine combination of the points in the set S.
II
Transcribed Image Text:4 Let b1 - 17 and S= {b, ,b2,b3}. Note that S is an orthogonal basis for R3. Write each of the given points as an affine combination of the points in the set S, if possible. %3D 1 - 4 13 16 - 8 a. p, = - 14 b. P2 = - 14 c. P3 = - 3 16 4 19 ..... a. Write p, as an affine combination of the points in the set S, if possible. Select the correct choice below and, necessary, fill in the answer boxes within your choice. O A. P1 b, + (O b2 + (O b3 = 1 O B. It is not possible to write p, as an affine combination of the points in the set S. II
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