Matrix functions

Linear Algebra and the C Language · Wikibooks

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    From Wikibooks, under CC BY-SA 4.0, as the source states it. This page at Wikibooks.


    Matrix functions:

    Working on powers
    sqrt(A) = V sqrt(EValue) T_V A**1/3 = V EValue**1/3 T_V A**3 = V EValue**3 T_V
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    Trigonometric Formulas
    Ide = cos(A)**2 + sin(A)**2 cos(2*A) = 2*cos(A)**2-1 sin(2*A) = 2*sin(A)*cos(A)
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    Hyperbolic Formulas
    Ide = cosh(A)**2 - sinh(A)**2 cosh(2*A) = 2*cosh(A)**2-1 sinh(2*A) = 2*sinh(A)*cosh(A)
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    Trigonometric Formulas II
    acos(cos(A)) = A asin(sin(A)) = A
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    Hyperbolic Trigonometric Formulas
    acosh(cosh(A)) = A asinh(sinh(A)) = A
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    Working with exponentials and logarithms
    Exp(A) Log(A)
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    Working with exponentials and logarithms II
    Log(Exp(A)) = A Exp(Log(A)) = A
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