6. Consider the linear transformation T: R4 → R³, whose standard matrix is given below: 0 -1 -2 1 -2 -3 0 -1 -3 1 (a) Fi
Posted: Wed Jul 06, 2022 11:58 am
6. Consider the linear transformation T: R4 → R³, whose standard matrix is given below: 0 -1 -2 1 -2 -3 0 -1 -3 1 (a) Find the dimension of the kernel/ null-space of T. Also, find the dimension of the image of T (i.e. the rank of 7 (b) Write down an explicit basis for both kerT (which is a subspace of R¹) and imT (which is a subspace of R³).