(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a linear transofmration from X={x1,x2,x3} to U={u1,u2,u3} which will remove the cross product term in the quadratic form of equation 2X_{1}^{2}+4X_{2}^{2}+5X_{3}^{2}-4X_{1}X_{3}

and thus write the resulting quadratic form in u1,u2,u3.

2. Relevant equations

3. The attempt at a solution

No idea at the moment. I presume that the 4x1x3 term is the term that I need to have disappear, but other than that, I can sure use some help. Thanks

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Finding Linear Transformation that will remove cross product term.

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