Let v = (1, 1) and v = (1, -1). Show that {V1, V2} is a...

 

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Let v₁ = (1, 1) and v₂ = (1, -1). Show that {V1, V2} is a basis for R². (b) Let T: R² → R² be the linear transformation satisfying T(v₁)=(2, 3), T(V₂) (-1, 1), where v₁ and v2 are the basis vectors given in (a). Find T (x1, x2) for an arbitrary vector (x1, x2) in R2. What is T (4, -2)? Let v₁ = (1, 1) and v₂ = (1, -1). Show that {V1, V2} is a basis for R². (b) Let T: R² → R² be the linear transformation satisfying T(v₁)=(2, 3), T(V₂) (-1, 1), where v₁ and v2 are the basis vectors given in (a). Find T (x1, x2) for an arbitrary vector (x1, x2) in R2. What is T (4, -2)?