32) Let T:R 2_ R ' be a linear transformation defined by J(xLy) = ( x - ay, - y13x - 54 ) which of the following is standard matrix for T ! a ) The standard matrix is/ 0 - I and T is not inversible WTHAN standar (3 - 5 6 ) The standard matrix is ( - 2 - 1 -s ) and I is not inversible ( ) the standard matrix is / 1 -2 ) and T is inversible (3- s) A) + is not inversible and thus does not have a standard matrix e ) The standard matty Is -2 - 1- 5 ) and I is inversible 33 ) the kernel of a linear transformation is only the zero vectore which of the following is true regarding the linear transformation ? " ) the transformation is onto b ) the transformation is one- to - one " the transformation cannot be inverted d ) the transformation only works on the zero vector 34 ) consider the linear transformation T form R to RT given by T ( w. x, yiz ) = ( w, x, a, o ) which of the following statement is correct . of Rank of T / Nullity of T b / Rank of T = Nullity of 7 = 2 ( ) Rank of T > Nullity of T d) Rank of T= Hullity of T= 3 35 ) Find the vector x determined by the coordinate vector ( x ] = [ 3) and the basis B= (1 3 1 1 ] ] 37 ) Simplify 41 -4-1 - 4 1 0 ) _ 1 6 + 4 1 d ) _ 16 4 : 15 17 17 15 15 15