Recent content by HKP

Could you please help me on how to start the problem because I don't know how to prove it only has one solution etc..

Homework Statement A= [1 1 -1], B=[0 1 2], C=[3 0 1] Show that r=s=t=0 Homework Equations The Attempt at a Solution I said r=s=t=0 so 0[ 1 1 -1] + 0[0 1 2] + 0[3 0 1] so 0 + 0 + 0= 0 so rA + sB + tC = 0 and r=s=t=0 Is that right way to do it?

Homework Statement Show that A + A(transpose) is symmetric for any square matrix A. Homework Equations A symmetric matrice is equal to A=A(transpose) The Attempt at a Solution I said A + A(transpose) = A(transpose) + A(transpose) = (A + A) (transpose) = A + A I don't know...

Homework Statement Find all values of k such that the following homogenous system has non-trivial solutinos: kx + 2y + 2z = 0 x + 2y + 2z = 0 4x + (k-1)y +2z = 0 Homework Equations The Attempt at a Solution I put it into matrix form ( k 2 2 0...