1. The Comprehensive R Archive Network
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2. Complex - R - R Tutorial
A discussion of the complex data type in R.
3. The R Project for Statistical Computing
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4. Complex Maastricht
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8. Complex Eigenvalues
A is a product of a rotation matrix. N cos θ − sin θ sin θ cos θ O withascalingmatrix N r 0 0 r O . · The scaling factor r is. r = P det ( A )= M a 2 + b 2 .
In Section 5.4, we saw that an n × n matrix whose characteristic polynomial has n distinct real roots is diagonalizable: it is similar to a diagonal matrix, which is much simpler to analyze. The other possibility is that a matrix has complex roots, and that is the focus of this section. It turns out that such a matrix is similar (in the 2 × 2 case) to a rotation-scaling matrix, which is also relatively easy to understand.
