The vectors U1 - (0, 4, 2), из — (1, — 1, 2), из — (5, 1, – 2) form an orthogonal basis of R°. So that any vector v E R° can be expressed in a unique way as a linear combination V = a1U1 + A2U2 + az U3, where a1, a2, a3 E R are coordinates of U with respect to the basis {u1, U2, Uz }. (-1, 0, 1). Find the coordinate a2 for V
The vectors U1 - (0, 4, 2), из — (1, — 1, 2), из — (5, 1, – 2) form an orthogonal basis of R°. So that any vector v E R° can be expressed in a unique way as a linear combination V = a1U1 + A2U2 + az U3, where a1, a2, a3 E R are coordinates of U with respect to the basis {u1, U2, Uz }. (-1, 0, 1). Find the coordinate a2 for V
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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Transcribed Image Text:The
vectors U1
- (0, 4, 2), из — (1, — 1, 2), из —
(5, 1, – 2)
form an orthogonal basis of R°.
So that any vector v E R° can be expressed in a unique way as a linear
combination V = a1U1 + A2U2 + az U3, where a1, a2, a3 E R are
coordinates of U with respect to the basis {u1, U2, Uz }.
(-1, 0, 1).
Find the coordinate a2 for V
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