Answer to Question #52682 in Linear Algebra for ravish

Question

Apply the Gram-Schmidt diagonalisation process to find a northonormal basis for the subspace of C4 generated by the vectors {(1,i,0,1),(1,0,i,0),(−i,0,1,−1)}(6)b) Find the orthogonalcanonical reduction of the quadratic form x2−2y2+z2+2xy+6yz and its principal axes. Also, find the rank and signature of the quadratic form.