1. Recall that the transpose of a 2-by-2 matrix A = (ad) is the matrix At...

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1. Recall that the transpose of a 2-by-2 matrix A = (ad) is the matrix At = - (8 %). Recall that any matrix that is equal to its transpose is said to be symmetric. Let W be the subspace a of V = M2x2 consisting of all symmetric matrices. Every matrix in W has the form (88). Show that S = {(9)· (9)· ( )}; is a basis for W. 4 pts 1. Recall that the transpose of a 2-by-2 matrix A = (ad) is the matrix At = - (8 %). Recall that any matrix that is equal to its transpose is said to be symmetric. Let W be the subspace a of V = M2x2 consisting of all symmetric matrices. Every matrix in W has the form (88). Show that S = {(9)· (9)· ( )}; is a basis for W. 4 pts

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