已知二次型-|||-((x)_(1),(x)_(2),(x)_(3))=2({x)_(1)}^2+3({x)_(2)}^2+3({x)_(3)}^2+2a(x)_(2)(x)_(3)(agt 0),-|||-通过正交变换化为标准形 =({y)_(1)}^2+2({y)_(2)}^2+5({y)_(3)}^2, 求参数a及所用的正交变换矩阵.

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