Question: 1. Solve the following Use the Grow algorithm to find a basis for the vector space V spanned by the given set S of vectors.

1. Solve the following Use the Grow algorithm to find a

1. Solve the following Use the Grow algorithm to find a basis for the vector space V spanned by the given set S of vectors. Then, state the dimension of V, dim(V) a. S 114,-7,21,-14], [1, 0,-3, 2] [4,-1.0,-3.0, 2.0], [12,-7, 27,-18]1 b. Prove that the Grow Algorithm correctly returns a basis for a set of vectors V. 1. Solve the following Use the Grow algorithm to find a basis for the vector space V spanned by the given set S of vectors. Then, state the dimension of V, dim(V) a. S 114,-7,21,-14], [1, 0,-3, 2] [4,-1.0,-3.0, 2.0], [12,-7, 27,-18]1 b. Prove that the Grow Algorithm correctly returns a basis for a set of vectors V

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