lec19_linear_algebra

lec19_linear_algebra - A.I*A #NxN Identity matrix given by...

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from numpy import * from scipy import linalg #2D numpy arrays can represent matrices Aa=array([[1,3,5],[2,5,1],[2,3,8]]) #Numpy also has a 'matrix' object that is very similar to 2D arrays, #but has a more userfriendly interface A=mat('[1 3 5; 2 5 1; 2 3 8]') #Returns the diagonal elements of the matrix A.diagonal() #Returns the trace (sum of diag. elements) A.trace() #Takes inverse of the matrix A.I # Matrix multiply using simple * operator # Should return identity matrix (matrix equivalent of 1)
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Unformatted text preview: A.I*A #NxN Identity matrix given by eye(N) eye(3) # Solutions to systems of equations # System #x + 3y + 5z = 10 #2x + 5y + z = 8 #2x + 3y + 8z = 3 # #Form is A*X = b b=mat('[10; 8; 3]') # Solution can be found by 1/A * b A.I * b #Better to use the solve function in linalg X=linalg.solve(A,b) print X #Exercise 1: Fixed points for a system of ODEs A=mat('[-10 10 0; -10 -1 -2; 2 -10 -8]') b=mat('[2;4;-3]') X=linalg.solve(A,b) print X...
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