For possibly non-symmetric A. B E Rnxn and ceR, let f(x, y): =xAx+yBx + c. Define...

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For possibly non-symmetric A. B E Rnxn and ceR, let f(x, y): =xAx+y¹Bx + c. Define T of (x,y)] ER". ▼: f (x, y) = [of, (x,y) 32 (x,y) Note: If you are unfamiliar with gradients, you may find the resources available on the course website use- ful. Section 4 of Zico Kolter and Chuong Do's Linear Algebra Review and Reference may be particularly helpful. a. [2 points] Explicitly write out the function f(x, y) in terms of the components Aij and B₁.j using appro- priate summations over the indices. b. [2 points What is Vrf(x, y) in terms of the summations over indices and vector notation? c. (2 points What is Vyf(x, y) in terms of the summations over indices and vector notation? For possibly non-symmetric A. B E Rnxn and ceR, let f(x, y): =xAx+y¹Bx + c. Define T of (x,y)] ER". ▼: f (x, y) = [of, (x,y) 32 (x,y) Note: If you are unfamiliar with gradients, you may find the resources available on the course website use- ful. Section 4 of Zico Kolter and Chuong Do's Linear Algebra Review and Reference may be particularly helpful. a. [2 points] Explicitly write out the function f(x, y) in terms of the components Aij and B₁.j using appro- priate summations over the indices. b. [2 points What is Vrf(x, y) in terms of the summations over indices and vector notation? c. (2 points What is Vyf(x, y) in terms of the summations over indices and vector notation?