Let A be m n with columns C1, C2, . . . , Cn. (a) If

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Let A be m × n with columns C1, C2, . . . , Cn.
(a) If {C1, . . ., Cn} is independent, show null A = 0.
(b) If null A = 0, show that {C1, . . .,Cn) is independent.
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