Consider the space M2x2 of 22 matrices, equipped with the inner product (A, B) = tr...

   

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Consider the space M2x2 of 22 matrices, equipped with the inner product (A, B) = tr (ATB), where the trace tr(X) is the sum of the diagonal entries of X: i.e. tr 11 212 X21 22 ) =211+22. Compute the orthogonal projection projy (A) of the element on to the subspace V 3 -2 A = 1 0 span " - {( 7 3)}. 2.210 x 868 Consider the space M2x2 of 22 matrices, equipped with the inner product (A, B) = tr (ATB), where the trace tr(X) is the sum of the diagonal entries of X: i.e. tr 11 212 X21 22 ) =211+22. Compute the orthogonal projection projy (A) of the element on to the subspace V 3 -2 A = 1 0 span " - {( 7 3)}. 2.210 x 868