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

consider the 2*2 symmetric matrix A =

(a b )

(b c)

and define f: R^2--R by f(x)=X*AX . show that [tex]\nabla[/tex]f(x)=2AX

2. Relevant equations

3. The attempt at a solution

quiet confuse about this question

[tex]\nabla[/tex]f(x)=(1. The problem statement, all variables and given/known data

consider the 2*2 symmetric matrix A =

(a b )

(b c)

and define f: R^2--R by f(x)=X*AX . show that [tex]\nabla[/tex]f(x)=2AX

2. Relevant equations

3. The attempt at a solution

quiet confuse about this question

[tex]\nabla[/tex]f(x)=(diff(f, x) , diff(f,y) )

can i set L=(u,v) to prove L is a linear map?

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# Symmetric matrix problem

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