educe the quadratic form xỉ + 2x– 7x3
d then find its index and signature. W
4x1x2 + 8x2X3
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Note that we split the contribution −4x1x2 ... A x for a symmetric n × n matrix A. Example 2 Consider the quadratic form ... eigenbasis for A, with associated eigenvalues λ1,...,λn. Then q( x) = λ1c. 2. 1 ... P−1AP = D. 3 ...
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