Need help tonight if possible The following problem requires calc 3 material. Yo
ID: 2980251 • Letter: N
Question
Need help tonight if possible The following problem requires calc 3 material. You may also need to read one or two sections from your calculus text that were not covered in Math 163. The notation ||x|| stands for the magnitude of x (called |x| in our calculus textbook). Let A = [[0.10 1][0.20 1][0.30 1][0.40 1]], x = [[Beta_1][Beta_0]], and b = [[5.5][9.5][15.7][19.7]]. Preliminary Step: Show that the equation Ax = b is inconsistent. Note that this equation is equivalent to the equation Ax -b = 0. Main Problem: Use multivariable calculus to find the vector x that minimizes ||Ax - b||^2 as well as the minimum value of ||Ax - b||^2. Plan: Define a function F by F(x) = ||Ax - b||^2 . Write an explicit scalar equation for F as a function of Beta_1 and Beta_0. No vectors should appear in your equation. Minimize this function using multivariable calculus.Explanation / Answer
determinant of A =det(A) = 0 , hence it is inconsistent ...