i thought the det(3A)=3det(A)=12, but the back book answer is 108. Also, i thought det (2AB)=2detAdetB=20, but the back book answer is 160. How is it??? thanks!
2007-01-24 16:39:11 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
When you multiply the whole matrix by a number then the determinate will be that number to the nth power( where n is comes from the fact that the matrix is nXn); therefore, in this case, det(3A)=27*det(A)=108. For the second problem, det(2AB)=2^3*det(A)*det(B)=8*4*5=160.
2007-01-24 16:50:22 · answer #1 · answered by bruinfan 7 · 1⤊ 0⤋
7
6
2007-01-24 16:46:49 · answer #2 · answered by da_hammerhead 6 · 0⤊ 1⤋
properly, this interior reason elementary to do. because Det(AB) = Det(A)*Det(B), and because Det(A^-a million) = a million/Det(A), you placed those mutually on your case, and you get: a million/32 *IF* via AB^-a million you meant (AB)^-a million or a million/2 *IF* via AB^a million you meant (A)(B^-a million)
2016-12-16 12:58:23 · answer #3 · answered by ? 4 · 0⤊ 0⤋
your welcome
2007-01-24 16:43:37 · answer #4 · answered by Anonymous · 0⤊ 1⤋