Question

Find k such that Nul(A) is a subspace of.

A) k > 0
B) k < 0
C) k = 0
D) Any real value of k

Answer 1

To find the value of k such that Nul(A) is a subspace, consider the cases of k > 0, k < 0, and k = 0. In each case, Nul(A) is a subspace.

Step-by-step explanation:

To find the value of k such that Nul(A) is a subspace, we need to consider the three cases: k > 0, k < 0, and k = 0.

1. If k > 0, then the universe is a closed sphere. In this case, Nul(A) will be a subspace.
2. If k < 0, then the universe is an open hyperbola. Again, Nul(A) will be a subspace.
3. If k = 0, then the universe is flat. Here, Nul(A) will also be a subspace.

Thus, we can conclude that any real value of k makes Nul(A) a subspace.