Please answer true or false The set of solutions to yt yt

The set of solutions to y\"(t) + y(t) = 1 is a vector space. If A has a non-trivial null-space, then Null(A) is an eigenspace of A. If A^2 is the zero matrix, then A is the zero matrix. R^2 is a subspace of R^3.

Solution

ANSWER :-

5. True

6.True

7. False

8.False (R2 is not a subspace of R3 because its elements (2-component vectors) do not even come from R3 (the set of 3-component vectors)