On Determinants. We let C be the basic circulant. 0 Find det A where A=al +bCz+cCz. 2 3 4 5 6 7 4 2 3 7 5 6 3 6 7 5 Let N= 4 2 9 10 6 9 Use Excel or your calculator or Matlab to 6 8 10 9 10 9 8 10 9 10 6 10 9 8 compute its determinant. Write N as a 2x2 matrix whose blocks are 3x3 matrices (of the pattern of O), and compute the determinant of N as if it were a 2x2, obtaining for your answer a 3x3 matrix of the same pattern. Compute the determinant of the 3x3 you obtained in 3. Make an educated observation on what has occurred. If you think nothing has occurred, check your computations. On Determinants. We let C be the basic circulant. 0 Find det A where A=al +bCz+cCz. 2 3 4 5 6 7 4 2 3 7 5 6 3 6 7 5 Let N= 4 2 9 10 6 9 Use Excel or your calculator or Matlab to 6 8 10 9 10 9 8 10 9 10 6 10 9 8 compute its determinant. Write N as a 2x2 matrix whose blocks are 3x3 matrices (of the pattern of O), and compute the determinant of N as if it were a 2x2, obtaining for your answer a 3x3 matrix of the same pattern. Compute the determinant of the 3x3 you obtained in 3. Make an educated observation on what has occurred. If you think nothing has occurred, check your computations