Question: Suppose that {v1, v2, ( ( ( ( vn} is a basis for Rn. Show that if A is an n ( n nonsingular matrix,

Suppose that {v1, v2, ( ( ( ( vn} is a basis for Rn. Show that if A is an n ( n nonsingular matrix, then
{Av1, Av2, ( ( ( ( Avn}
is also a basis for Rn.

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