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Indicate whether each statement is True or False. Briefly justify your answers ( Please answer C...

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Advance 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 andscalar multiplication. (

e) If x?1 and x?2 are in the null space of a square matrix A,then any linear combination of x?1 and x?2 is also in the nullspace of A.

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