Book
Linear Algebra
Author
Gilbert Strang
Edition
A=matrix([[0,.2],[0,.5]]) I=matrix(2,2,1)#identity matrix B=(I-A)**(-1) print B [ 1.00000000000000 0.400000000000000] [0.000000000000000 2.00000000000000] C=I for i in range(1,1000): C=C+A**i print C [ 1.00000000000000 0.400000000000000] [0.000000000000000 2.00000000000000] #Therefore B=C i.e. (I-A)**(-1)=C{i.e. the sum of A**k }
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