Consider the basis B={(3,2),(1,-4)} for R^2, Use the Gram-Schmidt process to rewrite this basis as an orthonormalized basis.

Consider the basis B={(3,2),(1,-4)} for R^2, Use the Gram-Schmidt process to rewrite this basis as an orthonormalized basis.

V1= (3,2)V2= (1,-4) The basis by gram Gram–Schmidt process are:U1=v1= (3,2)U2=V2- V 2.U 1× U1U 1.U 1 =(1,-4)- −5(3,2)13 =(1+15/13,-4+10/13)=(28/13,-42/13)(U1,U2 ) are the required basis