# Linear Algebra : Rank and Signature of Quadratic Form

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What is the rank and signature of the quadratic form +/-x2+4y2+/-2z2+4xy+4xz?

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What is the rank and signature of quadratic form

Solution. We can write this quadratic form in a form of matrix.

So, we have the following matrix A.

We can calculate the determinant of A easily and get det(A)=0, so A has ...

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The rank and signature of a quadratic form are found. The solution is detailed and well presented.

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