Set order eigenvalues of real symmetric matrix A, A1 =1, =2, A3 =-2, and a1 =(1,1, 1)is A to belong to 11, let B A5-4A3 +,with E for 3 order unit matrix. (1)Verify that a1 is the eigenvector of matrix B, and find all the eigenvalues and eigenvectors of B; (2)Find the matrix B.
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