Let T: R² →R² be the linear transformation such that T(e₁) and T(e₂) are the vectors shown in the figure. Using the figure, sketch the vector T(2,1). Choose the correct graph below. O A. T(2,1) VTC VT (₁) T(₂) Q X1 B. X2 T(2,1) T(₂) T (₁) Q X₁ OC. T (²₂) X2 T(2,1) (T(0₁). X2 X₂ T(e₁) Q O D. X1 T (²₂) X2 T(2,1) Q X₁

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Q: Let f: R → R³ be defined by f(x) = (x, 6x², 3x). Is ƒ a linear transformation? a. f(x + y) f(x) +…

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Q: Assume that T: V → V is a linear transformation with T(v1) = v1 +iv2, T(v2) = 4iv3 and T(v3) = (-i +…

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Q: Find the vectors direction of F= -2yi-xJ of the points below :- (-12-1), (-21-1),(3,0). (-1₁-2),…

A: Vector, F→=-2y i^-x j^Points: -1, -1, -2, -1, 3, 0, -1, -2, -3, -2, -1, 0

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Q: Find the coordinate vector [x]g of x relative to the given basis B= {b₁,b₂, b3}. 11 - 3 ·¤¤¤¤ b₂ 4 ,…

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Q: Find the coordinate vector [x]B of x relative to the given basis B= {b1, b2, b3}. 1 - 3 - 8 - 1 b2 4…

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Q: Find the coordinate vector [x]g of x relative to the given basis B = {b₁,b₂, b3}. 1 b₁ = -1, b₂ = -5…

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Q: Suppose T:R? → R? is a linear transformation such that T(u) and T(v) are given in the figure below.…

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Q: If T:R2 R³ is a linear transformation and the action of T on the special vectors U and V is as…

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