Question

#2. For the matrix A =   1 2 1 2 3 7 4 7 9   find the following. (a) The null space N (A) and a basis for N (A). (b) The range space R(AT ) and a basis for R(AT )

. #3. Consider the vectors −→x =   k − 6 2k 1   and −→y =   2k 3 4  . Find the number k such that the vectors −→x and −→y are orthogonal (perpendicular.)

#4. Find the number k such that the vectors −→a =   −8 2k 2   and −→b =   2k −8 −2   are co-linear.

Answer 1