Question: Problem 6: (10 points) True or False. Explain. a) If A is a matrix with a basis of column space having 2 vectors and a

Problem 6: (10 points) True or False. Explain. a) If A is a matrix with a basis of column space having 2 vectors and a basis of the nullspace having 3 vectors, then A has 5 rows. b) The range of the linear transformation T : R? R* is spanned by two linearly independent vectors. Then there is a nonzero vector v in R? such that Tv = 0. ) A, B and C are 3 x 3 matrices. The columns of B span R?, all the columns of B are in the span of the columns of C and the rows of A are the columns of B. Then ABC is invertible

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