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| the algebraic equation that results from a laplace transform |
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1. piecewise continuous
2. exponential order f(t)<=Me^kt |
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| when two laplace transforms are equal, their functions can only differ at isolated points, i.e. if f and g are continuous, they are equal |
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| u(t-a), also Heaviside function |
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| convolutions are useful for |
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1. finding inverse laplace transforms
2. solving integral equations |
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| every entry above main diagonal is zero |
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| every entry below main diagonal is zero |
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| every entry above and below diagonal is zero |
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| det(B)det(A)=det(BA)=det(AB) |
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| products of diagonal entries |
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| det(row or column of zeros) |
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| not having a an inverse, det=0 |
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| linearly independent and spanning V |
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