Determine whether the following statements are always true or sometimes false. Circle T for true, F for false. You DO NOT need to justify your answers. Let A, B, and C be n x n matrices. (a) T F (A+B)² = A² + 2AB+ B². (b) Т F If rref(A) has a row of zeros, then the linear system Ax = 0 has non-trivial solution. (c) T F (AB)" = AT B". (d) T F A linear system with 3 equations and 3 unknowns is consistent. (е) Т F If A and B are nonsingular, then AB is nonsingular.

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