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.
  618dbe4e82dda.jpg 
Check if matrix A and matrix B are diagonalizable. If it is diagonalizable, compute a matrix P such that

618dbed85e654.jpgBP is a diagonal matrix and compute the determinant of A4-5A2+2I or B4-5B2+2I. I is an

identity matrix.