Answer Happy

Posted: **Wed Jul 13, 2022 5:06 am**

: Problem 3 Let F X Y Z 2x2 3y2 4z2 2xy 4yz A Find The 3 3 Symmetric Matrix A Such That F X Y Z V Av Where V Xyz 1 (28.59 KiB) Viewed 44 times

Problem 3 Let f(x,y,z)=−2x2−3y2−4z2+2xy+4yz. (a) Find the 3×3 symmetric matrix A such that f(x,y,z)=v⊤Av where v=⎣⎡xyz⎦⎤. (b) Determine if A is positive-definite, negative-definite, or nonsingular indefinite.

Answer Happy

Problem 3 Let f(x,y,z)=−2x2−3y2−4z2+2xy+4yz. (a) Find the 3×3 symmetric matrix A such that f(x,y,z)=v⊤Av where v=⎣⎡​xyz​

Problem 3 Let f(x,y,z)=−2x2−3y2−4z2+2xy+4yz. (a) Find the 3×3 symmetric matrix A such that f(x,y,z)=v⊤Av where v=⎣⎡​xyz​

Problem 3 Let f(x,y,z)=−2x2−3y2−4z2+2xy+4yz. (a) Find the 3×3 symmetric matrix A such that f(x,y,z)=v⊤Av where v=⎣⎡xyz

Problem 3 Let f(x,y,z)=−2x2−3y2−4z2+2xy+4yz. (a) Find the 3×3 symmetric matrix A such that f(x,y,z)=v⊤Av where v=⎣⎡xyz