The calculator will find the null space of the
2x
2 matrix
[−2020], with steps shown.
Solution
The reduced row echelon form of the matrix is [10−10] (for steps, see rref calculator).
To find the null space, solve the matrix equation [10−10][x1x2]=[00].
If we take x2=t, then x1=t.
Thus, x=[tt]=[11]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 {[11]}A.
The nullity of the matrix is 1A.