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+ + + =

Matrix Calculator 矩阵计算器

This calculator calculates symbolic matrix and expression with operator of +, -, *, /, \, ^ and function of limit(x,x=0), diff(x), integrate(x,x), solve(x==0), find_root(x,-1,9), factor(), etc.

  • = is assignment, it will remember assignment until clear memory by
  • == is equal for equation, instead of =, e.g. x-1==0
  • find_root(x) is a function with function name of two words separated by underscore _

    Solving matrix equations is easy, using the method solve_right. Evaluating A.solve_right(Y) returns a matrix (or vector) X so that A X = Y, where X in right hand side of A.
    A backslash \ can be used in the place of solve_right; use A \ Y instead of A.solve_right(Y).
    Similarly, use A.solve_left(Y) to solve for X in X A = Y, where X in left hand side of A.

    compute eigenvalues using
    A.eigenvalues()

    compute eigenvectors using
    A.eigenvectors_left()
    The syntax for the output of eigenvectors_left is a list of triples:
    (eigenvalue, eigenvector, multiplicity)

    Example :

  • limit(sin(x),x=0)
  • integrate(sin(x),x)
  • solve(sin(x),x)
  • solve([x+y==3,x-y==-1],x,y)
  • find_root(sin(x),-1,1) find root from -1 to 1
  • m=matrix([[1,2],[3,4]]); m[0,0]
    assign matrix to m, then m[0,0]. first [index] of m is 0
  • m=matrix([[1,2],[3,4]]); det(m)
    assign matrix to m, then calculate determinant of m
  • A=matrix([[1,2],[3,4]]);Y=vector([3,7]);A\Y
    solve for X in A X = Y, where X in right hand side of A.
  • A=matrix([[1,2],[3,4]]);Y=vector([3,7]);A.solve_right(Y)
    solve for X in A X = Y, where X in right hand side of A.
  • A=matrix([[1,2],[3,4]]);Y=vector([3,7]);A.solve_left(Y)
    solve for X in X A = Y, where X in left hand side of A.

    Reference

    1. math handbook - matrix
    
    See Also
    
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