Suppose n is a positive integer.Define T∈ L(Fn) by T(z1, z2,....., zn)=(0, z1,..., zn-1). Find a formula for T*(z1, z2,....., zn).
a. Find the orthogonal and normal canonical forms of 2y^2-2yz+2zx-2xy.
b. The operation,* defined by a*b= sin(ab), is a binary operation on N
True or false with full explanation
4x^2+3y^2+z^2-8xy-6yz+4zx
suppose s t ∈ l(v) are self-adjoint. Prove that st is self-adjoint if and only if st=ts
suppose t is a normal operator on v. suppose also that v, w €v satisfy the equations ||v||=||w||=2, tv =3v, tw =4w. show that ||t(v+w)||=10