10 2 2 2 2 2 marks True or false If true prove it and if false give a counter example i The vector n 2 3 is perpendicular to the

Question

10 2 2 2 2 2 marks True or false If true prove it and if false give a counter example i The vector n 2 3 is perpendicular to the line 2x 3y 7 ii The set W A E Man det A 0 is a subspace of the vector space Mnn the set of all n x n matrices with the usual addition and scalar multiplication iii If E and E2 are elementary matrices then the product E E2 is an elementary matrix iy If A is an invertible symmetric matrix then adj A is also a symmetric matrix v The zero vector of any vector space is unique

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