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Talk - IBM Research

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2016-3-2 elimination day 2.notebook

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... complement of the row space. We can see this by noting that if A is an rn x ii matrix both the row space and the nullspace are subspaces of Il’. The dimension of the nullspace if n r, where r is the rank of A, which is also the dimension of the row space. If x were a vector orthogonal to the row spa ...
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... is a solution of (2). We shall now use MATLAB to compute the eigenvalues and eigenvectors of a given square matrix A, and therefore calculate the solutions of (2). The first step is to enter the given matrix A: this is done by enclosing in square brackets the rows of A, separated by semicolons. If w ...
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Gaussian elimination

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