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Alexander Cairns

@MathTheorems

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Given T: R^n to R^n, where B & S are different bases, [T]_s = C[T]_BC^-1 (C is a conversion matrix).


The span of any set of vectors in a vector space will always be a subspace of that vector space.


An n x n matrix A is invertible if rref(A) = I_n, or if rank(A) = n


In right triangles, the area of the square whose side is the hypotenuse equals the sum of the area of the squares whose sides are the legs.


If a system of equations with n variables has a coefficient matrix A, then n - rank(A) = dimension of solution space #maththeorem


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