申論題

7. (20%) Assume we have collected the data from four types of sensors four times from two experiments. Put these data in the form of matrix A and B.
   
Check if matrix A and matrix B are diagonalizable. If it is diagonalizable, compute a matrix P such that

BP is a diagonal matrix and compute the determinant of A⁴-5A²+2I or B⁴-5B²+2I. I is an

identity matrix.