00:01
So, in this problem, the given that the matrix a equal to 2, minus 1, 0, 1, 5, 2, 1, minus 4, minus 1, minus 4, minus 1, 6, minus 8, minus 5, minus 2.
00:21
We need to find rank a and nullity a.
00:28
Now, the reduced row equivalent form is 1, 0, 1 by 9, minus 2 by 9, 0, 1, 2 by 9, minus 13 by 9, 0, 0, 0, 0, 0, 0, 0, 0.
01:07
Here, the number of non -zero is 2.
01:14
Therefore, rank of a is equal to, now we need to find the null space of the given equation.
01:31
Because nullity of a is equal to dimension of null space...