In: Advanced Math
Indicate whether each statement is True or False. Briefly justify your answers ( Please answer C and E both )
(c) The set of all 3 × 3 matrices A with zero trace (T r(A) = 0) is a vector space under the usual matrix operations of addition and scalar multiplication. (
e) If x⃗1 and x⃗2 are in the null space of a square matrix A, then any linear combination of x⃗1 and x⃗2 is also in the null space of A.