Solved: In 1 and 2, verify that the basis B for the given vector space is orthonormal
Chapter 7, Problem 1(choose chapter or problem)
In Problems 1and 2, verify that the basis B for the given vector space is orthonormal. Use Theorem 7.7.1 to find the coordinates of the vector u relative to the basis B. Then write u as a linear combination of the basis vectors.
\(B=\left\{\left\langle\frac{12}{13}, \frac{5}{13}\right\rangle,\left\langle\frac{5}{13},-\frac{12}{13}\right\rangle\right\}, \quad R^{2} ; \quad \mathbf{u}=\langle 4,2\rangle\)
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