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 | | Suppose you have a matrix "A" and a vector "b" and you want to find out a vector "x" so that C, i.e., the vector "x" which solves the equation system represented by the matrix "A" and the vector "b". |
 | | Using Gaussian transformations (multiplying a row or column with a factor, swapping two rows or two columns and adding a multiple of one row or column to another), it is possible to decompose any matrix "A" into two triangular matrices, called "L" and "R" (for "Left" and "Right"). |
 | | Provided none of the two input vectors is the null vector, then the two vectors are orthogonal, i.e., have an angle of 90 degrees between them, exactly when their scalar product is zero, and vice-versa. |
| www.asis.com /~scotfree/cgi/mathmat/blib/lib/Math/MatrixReal.pm (6175 words) |
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