1. For each matrix A below, let T: R² → R² be the linear transformation given by T(u) = Au. Calculate T(e1), T(e2), and T(v), where ej and v = Then, based on your results, classify T as a dilation, reflection, or rotation. 0 1 1 0 3 0 0 3 (a) A = (b) A= (c) A = 0 1

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Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

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Q: Advanced Math Question

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Q: 4. Compute the exact value of (-1)"(n+2) xn+1 Ln=0 2n+1 (nt1) 100

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Q: Suppose z = (0, 4), then arg(z) = {+ 2nn,n E R %3D

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Q: (–1)" >) Given: In(1 + x) = if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

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Q: Use the Babylonian's formula to calculate the circumferenice of a circle with diameter of 6 units.

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