In R³ find PD-B, where B = {(1, 0, 0), (1,1,0), (1, 1, 1)}, D = {(1, 0, 1), (1, 0, -1), (0, 1,0)}. If v = (a, b, c), show that CD (v) = 1 2 a + c a - c 26 and verify that CD(v) = PD
In R³ find PD-B, where B = {(1, 0, 0), (1,1,0), (1, 1, 1)}, D = {(1, 0, 1), (1, 0, -1), (0, 1,0)}. If v = (a, b, c), show that CD (v) = 1 2 a + c a - c 26 and verify that CD(v) = PD
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![In R³ find PD←B, where
B = {(1, 0, 0), (1, 1, 0), (1, 1, 1)}, D = {(1,0,1), (1, 0, -1), (0, 1, 0)}.
If v = (a, b, c), show that
Cp (v)
=
1
2
a + c
a c
26
and verify that Cp(v) = PD-BCB(U).
a
b
»-[]
=
с
с
CB(v)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6970739-ea72-4374-a68b-56cc56ebfddf%2F960ee5bb-4856-490f-b8e5-dc10be02c4f9%2Fh1tdw9o_processed.png&w=3840&q=75)
Transcribed Image Text:In R³ find PD←B, where
B = {(1, 0, 0), (1, 1, 0), (1, 1, 1)}, D = {(1,0,1), (1, 0, -1), (0, 1, 0)}.
If v = (a, b, c), show that
Cp (v)
=
1
2
a + c
a c
26
and verify that Cp(v) = PD-BCB(U).
a
b
»-[]
=
с
с
CB(v)
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