Solved: Finding Transition and Coordinate Matrices In
Chapter 4, Problem 4.72(choose chapter or problem)
In Exercises 69–72, (a) find the transition matrix from B to \(B^{\prime}\), (b) find the transition matrix from B to B, (c) verify that the two transition matrices are inverses of each other, and (d) find the coordinate matrix \([\mathbf{x}]_{B^{\prime}}\), given the coordinate matrix \([\mathbf{x}]_{B^{\prime}}\).
B = {(1, 1, −1), (1, 1, 0), (1, −1, 0)},
\(B^{\prime}=\{(1,-1,2),(2,2,-1),(2,2,2)\}\),
\([\mathbf{x}]_{B}=\left[\begin{array}{lll} 2 & 2 & -1 \end{array}\right]^{T}\)
Text Transcription:
B^prime
[mathbf x]_B^prime
[mathbf x]_B^prime
B^prime ={(1,-1,2),(2,2,-1),(2,2,2)}
[mathbf x]_B =[2 & 2 & -1]^T
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer