Let mu = [ 1/2 1], omega[1] [10 0 0], omega[2] [0 10 0], omega[3] [0 0 10], and

Question

Let mu = [ 1/2 1], omega[1] [10 0 0], omega[2] [0 10 0], omega[3] [0 0 10], and Compute i. omega r[1]mu and omega r[1] omega[1]; ii. omega r[2]mu and omega r[2] omega[2]; and iii. omega r[3]mu and omega r[3] omega[3]; . i. Use the leading principal minors of to prove that it is positive definite. ii. For any 3-vector. omega 0. show that omega' omega > 0. (Hint: complete the square, using omega 1 your variable.) iii. Suppose that omega 12 = a2v for some constant a. Totally differentiate to solve for Sketch omega 1 as a function of v. (Hint: what if omega 1

Explanation / Answer

I wish I could help with the particular problem but I cannot read the components of the first matrix and the subscripts in (a) and (b), even after I zoom in. However, I can at least give you a tip for this one and other problems. wolframalpha.com may provide you with some of the answers AND if you need explanation for how to use some of the required methods, you may find it by searching for it in Wolframalpha.

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