Suppose T : R³ → R² was a linear transformation so that ())-0 = What is T T and (1) 13 T -(1) - ₁ = |[3] 3

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Q: pproximate y(1.5) using  h = 0.1  and  h = 0.05  with Euler's method.

A: We have,Initial condition:Euler's method:

Q: maximize 2r₁ + 1₂ - 13 subject to 4r₁ + ₂ + 3x3 ≤ 1, -21₂+13 ≤ 1, 4x2+2x3 = -7, ₁ unrestricted, 1₂ ≤…

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Q: 5. If and A = 5 3 -2 2 7 -1 521 verify that A(B+C) = AB+ AC. 6 5 1 C = 107 B = 2 0 " TOT

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Q: 1. Solve with matrices: -7x₁ +5x2 - 6x3 = 3 5x12x2 + 3x3 = 5 X1 X2 + x3 = -2

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Q: Prove that for any function f : X → Y and for any subsets Y₁ and Y₂ of Y, ƒ¯¹(Y₁ NY₂) = ƒ¯¹(Y₁) Ñ…

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Q: 5. Determine the value of k so that x − 3 is a factor of x³ – 3x² +x+k a. k = 1 b. k = -3 c. k = 3…

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Q: Prove that sin (50) sin (0) = 16cos (0) 12cos² (0) + 1, if 0 ±nn where n E Z

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