Answer:
the smallest possible dimension of Nul A is zero.
Step-by-step explanation:
The given matrix has 7 rows and 3 columns since it is a 7 x 3 matrix.
Rank Nullity Theorem:-
For any matrix A
rank A + dimension of Nul A = Column of A
Here, column of A = 3
Thus, we have
rank A + dimension of Nul A = 3
Since, it is a 7 x 3 matrix, hence the rank of this matrix can be 3.
Therefore, we have
3 + dimension of Nul A = 3
=> dimension of Nul A = 0
Therefore, the smallest possible dimension of Nul A is zero.
