[Steps Shown] Let M1 = and M2 = . Consider the inner product < A, B >= trace(A T B) in the vector space R 2x2 of 2x2 matrices. Use the Gram-Schmidt process


Question: Let M1 = and M2 = . Consider the inner product < A, B >= trace(A T B) in the vector space R 2x2 of 2x2 matrices. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R 2x2 spanned by the matrices M1 and M2.

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