Question: Can I have some help with this 8. Dene a quadratic form I; : R3 } ]R by q{.1:1,.1:2, 3} = 23:12 + 3 +

Can I have some help with this

Can I have some help with this 8. Dene a quadratic form

8. Dene a quadratic form I; : R3 } ]R by q{.1:1,.1:2, 3} = 23:12 + 3 + 2:: + 23:11:; {a} {2 points} Find the associated 3 x 3 symmetric matrix A such that q-{f} = :E - {A5} {is} {3 points} Find an orthogonal diagonalization of A. {c} {1 point) What is the denitenws of q? (d) {4 points} Use the information from part{h) to geometrically describe the level set {61113 : eff} = 5}: read as \"the set of all vectors f in R3 such that 9(5) = 5.\" Be sure to explain how you use the information from part{h} You can sketch the level set if you'd like but it is not required

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