# Answer to Question #44918 in Linear Algebra for Anurodh

Question #44918

State if the following statements are true and which are false? Justify your answer with a

short proof or a counterexample.

If {v1, v2, .... , vn} is a basis for vector space V, then {v1+v2+ +vn, v2,.... ,vn} is also

a basis for V

short proof or a counterexample.

If {v1, v2, .... , vn} is a basis for vector space V, then {v1+v2+ +vn, v2,.... ,vn} is also

a basis for V

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