Finding a Coordinate Matrix In Exercises 5156, given the
Chapter 4, Problem 4.53(choose chapter or problem)
In Exercises 51–56, given the coordinate matrix of x relative to a (nonstandard) basis B for \(R^{n}\), find the coordinate matrix of x relative to the standard basis.
\(B=\left\{\left(\frac{1}{2}, \frac{1}{2}\right),(1,0)\right\}, \quad[\mathbf{x}]_{B}=\left[\begin{array}{ll} \frac{1}{2} & \frac{1}{2} \end{array}\right]^{T}\)
Text Transcription:
R^n
B={(1/2, 1/2),(1,0)}, [mathbf x]_B =[1/2 & 1/2]^T
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