jessica

regarding question (1) dont know anything besides whats in the question, was a past paper question from an exam! i understand how to manipulate question (2) im just not definate about how to deal with the constants a and b when dealin with a complex space!

hi finding these questions impossible and was wondering if anyone knew how to answer them!!!.... 1) a linear transformation T:R^6 -> R^6 is known to have characteristic polynomial x^2(x+1)(x+5)^3 determine all possibilities for the minimum polynomial of T 2)let V be and inner product space over C with inner product <,> and let u,v be vectors from V which are orthogonal to each other. prove that ||au+bv||^2 = |a|^2||u||^2 + |b|^2||v||^2 for any complex numbers a and b thank you!!!

can anyone help with these questions?! woudl really appreciate it , finding them impossible! a linear transformation T: R^6 --> R^6 is known to have characteristic polynomial x^2 (x + 1) (x+5)^3 determine all possibilities for the mimimum polynomial of T Let V be and inner product space over C (complex) with inner product space <,> and let u,v, be vectors from V which are orthogonal to each other . prove that ||au+bV||^2 = |a|^2 ||u||^2 + |b|^2 ||v||^2 for any complex numbers a and b. thank you!!!!