27. Prove that the determinant of the matrix 2 Y3 -I is 2, where (y)(y2()(ys)2. Prove also that the inverse of the matrix G is G(G-I)T İs an orthogonal matrix. Show also that the vector Show that the matrix A is an eigenvector for the matrix A and determine the corresponding eigenvalue 27. Prove that the determinant of the matrix 2 Y3 -I is 2, where (y)(y2()(ys)2. Prove also that the inverse of the matrix G is G(G-I)T İs an orthogonal matrix. Show also that the vector Show that the matrix A is an eigenvector for the matrix A and determine the corresponding eigenvalue
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