Question 2
1 pts
A scientist has found two solutions to a homogeneous system Ax = 0 of 40 equations in 42
variables. The two solutions are not multiples, and all other solutions can be constructed by
adding together appropriate multiples of these two solutions.
Given the data above, choose all the correct answers below.
Remember that the only $n$-dimensional vector subspace of $\mathbb{R}^n$ is $\mathbb{R}^n$ itself. Any other
subspace has strictly less dimension.
The nullity of A is 2.
The scientist can be certain that an associated nonhomogeneous system Ax = b has a solution for
any $b \in \mathbb{R}^{40}$, i.e., $Col(A) = \mathbb{R}^{40}$.
There is not enough information given to deduce the rank of A.
rank A = 42
