Question: (4 marks) Let A be an n x n matrix with columns v1, V2, . .., Vn, SO A = [V1 V2 ... Vn]. Suppose

 (4 marks) Let A be an n x n matrix with

(4 marks) Let A be an n x n matrix with columns v1, V2, . .., Vn, SO A = [V1 V2 ... Vn]. Suppose that det(A) = 10. Find the determinant of the matrix B given by B = [v1 v1+ v2 v2 + v3 v3 + V4 ... Vn-1 + Val. In other words, the columns of Bare v1, V1 + v2, v2 + v3, v3 + V4, ..., Vn-1 + Vn

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