Create two random 7 × 7 integer matrices A and B. Check whether any of the following identities hold or not: 1. det(AB) = det(A) det(B)
det(A + B) = det(A) + det(B) 3. det(A−1)=1/det(A)
det ([ A 0 ]) = det(A) det(B)(the 0 denote 7 × 7 zero matrices) 0B
Define a 7x7 random matrix (you must give the base ring (in my example integer ring (ZZ)):
A = random_matrix(ZZ,7,7)
Zero matrix:
O = zero_matrix(7,7)
or:
O = matrix(7,7,0)
Identity matrix:
E = identity_matrix(7,7)
or:
E = matrix(7,7,1)
Asked: 2016-11-03 00:10:17 +0200
Seen: 10,117 times
Last updated: Nov 04 '16
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What have you tried? Woudl it be possible for you to post some of your code. Didi you look at this question? Here's some simply code to help you generate a 7 x 7 matrix with some random integers
B = matrix(7,7, sample(xrange(100), 49)); Bhowever, I am not sure that this is what you are looking for. If you specific and post code I'll be happy to try to help you!Have you tried the
random_matrixcommand?Are you just copying a homework problem? It looks very much like it. Have you searched the web? Usually adding "sagemath" to your query gives very good results, for instance search [random matrix sagemath].