The calculator will find the null space of the
2x
2 matrix
[0022], with steps shown.
Solution
The reduced row echelon form of the matrix is [0010] (for steps, see rref calculator).
To find the null space, solve the matrix equation [0010][x1x2]=[00].
If we take x1=t, then x2=0.
Thus, x=[t0]=[10]t.
This is the null space.
The nullity of a matrix is the dimension of the basis for the null space.
Thus, the nullity of the matrix is 1.
Answer
The basis for the null space is {[10]}A.
The nullity of the matrix is 1A.