Question: 2 3 19 1 l] 2 A = 1 3 13 ~ I] 1 5 = B 8 15 59 I] l] l] a. DimINulA]

 2 3 19 1 l] 2 A = 1 3 13

2 3 19 1 l] 2 A = 1 3 13 ~ I] 1 5 = B 8 15 59 I] l] l] a. DimINulA] =I I b. Give a basis for the null space of A. 3mm = I I c. DimIColA} =I I d. Give a basis for the column space of A. ECoLt'l = I I 21 e. Give the coordinate vector for u = 3 relative to the basis you found above for the column space of 3 A. {Please write your vector in I].] M: = _ _| f. Show that each vector in the basis for Nul A is orthogonal to each vector in the basis for Row A, for this given matrix A

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