V= Let T: R² R2 be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps = (1, 3) into (−1,3). Use properties of a linear transformation to calculate the following. (Enter your answers as ordered pairs, such as (1,2), including the parentheses.) T(-4u) = = T(8v) = T(-4u + 8v) =

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A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Apply the transformation matrix Then describe the transformation. 1 0 2 [1] 16 16 5 4 3 22 -6 -5 -4…

A: The given matrix is A=120012, v=-4-6 We have to plot the result.

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A: We can write the answer in the below steps.

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A: Solution : Given that the lines l1 : 4,4,-3+t2,1,-1l2 : -2,-7,2+s3,2,-3

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A:

Q: 5. Let u= w= [-]-[], and w (a) Show that w is not a linear combination of u. (b) Show that u and V…

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Q: Starting with vector v in the diagram to the #9. right, graph the vector 3 v +w-2u Confirm your…

A: The graph is given

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A: We use the definition of coordinate vector relative to a given basis to answer the given question.

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A:

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A: Let r(t) be a twice differentiable vector valued function representing the position vector of a…