(a) Show that if

is a block diagonal matrix, where A and B are square matrices, then det D = det A det B.
(b) Prove that the same holds for a block upper triangular matrix

(c) Use this method to compute the determinant of the following matrices:
(i)

(ii)

(iii)

(iv)

Transcribed Image Text:

8 det(3 S) = det A det B 257 243 5532 2012 2]00 1300 04-0 2130 1300 0025 0049 1542 5223