Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Matricesmedium
0:00.0

By the rank-nullity theorem, for an m×nm \times nm×n matrix AAA: rank(A)+nullity(A)=n\text{rank}(A) + \text{nullity}(A) = nrank(A)+nullity(A)=n where nullity is the dimension of the null space ker⁡(A)\ker(A)ker(A). For a 6×46 \times 46×4 matrix AAA with rank 2, what is the dimension of the null space?