Recall the standard basis E = {,2} in R where (1) The linear transformation : R...

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Recall the standard basis E = {₁,2} in R² where (1) The linear transformation : R² → R² is defined as Tasks RE-E (O): = e₁ RB→B(0) Ф = x1 X2 91 =( (a) What is the matrix representation of from the standard basis to the standard basis? (b) Suppose basis B = {6₁, 62₂} || Hint: RB E (id) is trivial to find. e2 -x1 + x₂ -3x1 + 4x2 = 2 5₁-(-²₁) 5₁-(²). = = what is the matrix representation of from basis B to basis B? ·( in R² (c) Find a basis G {91,92} such that the matrix representation of o from basis G to basis G is Rasa(4) = (. is 39 23 -36 -61 -) ₁₁ - () 92 = Recall the standard basis E = {₁,2} in R² where (1) The linear transformation : R² → R² is defined as Tasks RE-E (O): = e₁ RB→B(0) Ф = x1 X2 91 =( (a) What is the matrix representation of from the standard basis to the standard basis? (b) Suppose basis B = {6₁, 62₂} || Hint: RB E (id) is trivial to find. e2 -x1 + x₂ -3x1 + 4x2 = 2 5₁-(-²₁) 5₁-(²). = = what is the matrix representation of from basis B to basis B? ·( in R² (c) Find a basis G {91,92} such that the matrix representation of o from basis G to basis G is Rasa(4) = (. is 39 23 -36 -61 -) ₁₁ - () 92 =