Question

4. For each of the following two matrices, find the values of t for which the matrix is not
invertible. For each of those values of t, find a basis for the kernel of the corresponding
non-invertible matrix.
(a) [ t − 12 15 ]
[−6 t + 7 ]
(b)
[t − 17 9 −2]
[2t − 35 19 −4]
[2t + 2 −(t + 1) t − 1]