In each of the following situations, find the rank of the unknown matrix. (a) A non-zero 2 x 2 matrix which is not inver

[answerhappygod]

In Each Of The Following Situations Find The Rank Of The Unknown Matrix A A Non Zero 2 X 2 Matrix Which Is Not Inver 1 (30.17 KiB) Viewed 18 times

In each of the following situations, find the rank of the unknown matrix. (a) A non-zero 2 x 2 matrix which is not invertible. (b) A non-zero 4 x 2 matrix which has a non-zero vector in its kernel. (c) A 4 x 3 matrix whose kernel is {0} (that is, whose kernel only contains the zero vector). (6) Let N be an n x n matrix such that N² = 0. Show that the kernel of N has dimension at least. Hint: Try to show a the relationship between ker(N) and im(N)..