In Exercises 21 and 22, mark each statement

Chapter 1, Problem 21E

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In Exercises 21 and 22, mark each statement True or False. Justify each answer on the basis of a careful reading of the text.a. The columns of a matrix A are linearly independent if the equation Ax = 0 has the trivial solution.b. If S is a linearly dependent set, then each vector is a linear combination of the other vectors in S.c. The columns of any 4 × 5 matrix are linearly dependent.d. If x and y are linearly independent, and if {x, y, z} is linearly dependent, then z is in Span {x, y}