Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form

Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form

Question

Question

Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form

Topic

Orthogonal Transformation

Problems

  1. Reduce 8x^2+7y^2+3z^2-12xy+4xz-8yz into canonical form using orthogonal transformation. Also indicate the nature, index, rank and signature of the quadratic form
  2. Reduce the Quadratic form 3x^2+5y^2+3z^2-2yz+2zx-2xy to the Canonical form

 

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