Reduce to canonical form the following quadratic forms on r 3 :
a) q(x) = x12 + x 22 + 3x32+...
Physics, 10.07.2019 19:20 brooklynpage5283
Reduce to canonical form the following quadratic forms on r 3 :
a) q(x) = x12 + x 22 + 3x32+ 4x1x2 + 2x1x3 + 2x2x3;
b) q(x) = 2x1x2 − 6x2x3 + 2x1x3.
the form q = a1y12+ a2y22 + · · · + anyn2 , where y1, y2, . . , yn are new unknowns, are called canonical
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