Let \( \left\{U_{1}=\left[\begin{array}{cc}-1 & 0 \\ -1 & -1\end{array}\right], U_{2}=\left[\begin{array}{cc}0 & 6 \\ -3 & 0\end{array}\right], U_{3}=\left[\begin{array}{ll}0 & 4 \\ 0 & 2\end{array}\right]\right\} \) be a basis for a subspace of \( \mathbb{R}_{2 \times 2} \). Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: \( \left\{V_{1}=\left[\begin{array}{cc}-1 & 0 \\ -1 & -1\end{array}\right], V_{2}=\left[\begin{array}{ll}a & 6 \\ b & 1\end{array}\right], V_{3}=\left[\begin{array}{cc}-1.29 & c \\ 0.57 & d\end{array}\right]\right\} \) \( a= \) Ex. \( 5: \quad b= \) Ex. \( 5 \quad c= \) Ex. \( 1.23 \quad d= \) Ex. 1.23
UpStudy ThothAI Solution
Quick Answer
Step-by-step Solution
Enter your question here…