2. Find the matrix that expresses the change of coordinates from basis A to basis B consisting of ui = (-1,1,1), ū2 = (-1,1, 1), йp (0, 1, 1), ūz = (1,0, –1). This matrix can be found from the formula B-1. A.
2. Find the matrix that expresses the change of coordinates from basis A to basis B consisting of ui = (-1,1,1), ū2 = (-1,1, 1), йp (0, 1, 1), ūz = (1,0, –1). This matrix can be found from the formula B-1. A.
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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Linear Algegra. Please solve question 2, not 1.
Transcribed Image Text:1. **Find the coordinates of vector** \( \vec{w} = \langle 1, 2, 3 \rangle \) **in the basis** \( A \) **which consists of** \( \vec{v_1} = \langle 1, 1, 0 \rangle \), \( \vec{v_2} = \langle 0, -1, 0 \rangle \), \( \vec{v_3} = \langle 1, 0, 1 \rangle \).
2. **Find the matrix that expresses the change of coordinates from basis** \( A \) **to basis** \( B \) **consisting of** \( \vec{u_1} = \langle -1, 1, 1 \rangle \), \( \vec{u_2} = \langle 0, 1, 1 \rangle \), \( \vec{u_3} = \langle 1, 0, -1 \rangle \). **This matrix can be found from the formula** \( B^{-1} \cdot A \).
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