Suppose a certain translation T sends P(xp, yp) to Q(xo,yo). Find the 3 x 3 matrix T that represents this (its entries expressed in terms of the coordinates of P and Q). 14.

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A: Given: A=0-5231-3-4-43 To find : Vector x and y with  xs=1  and  ym=1 such that A1=Axs    and…

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Q: Find the cross product a * b. a=(4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a and…

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Q: For the matrix M M. [1 -2 -2] 0-5 3 -11 -4 F find three different non-zero vectors that are in the…

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Q: Show that the three points (x1, y1), (x2, y2), and (x3, y3) in a plane are collinear if and only if…

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Q: 5) Let 0 H 1 0 Can w be written as a linear combination of V1, V2, V3, and v4? V₁ = 2 V₂ = 2 3 1 and…

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Q: Let ui = (3, –1,3, 3), u2 = (-2,3, 1, 3), and uz = (0, –1, -1, –1). Write v = (8, –9, 1, –1) as a…

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Q: 3. Find all real numbers x, y such that the columns of the following matrix are linearly de-…

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Q: 2 3 4 Let vi = 1 V2 = -2 V3 = 5, and E u = V2 3 Determine if u is in Col E, the column space of E.…

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Q: Approximate proju and projw. -8 -7 -6 -5 -4 -3 -2 -1 proj u 5.491 projw 4.801 = vector u vector w -5…

A: Given thatWe have to approximate Projwu and Projuw.We know that

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Q: 8 Let y = «Y-[-]-₁- 12 1 26 5 26 and W = Span{u₁}. a. Let U be the 2×1 matrix whose only column is…

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Q: 4. Determine if the vector b is in the span of the columns of the matrix A, where [1 2 3 A = 7 8 10…

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Q: 5. Consider the vectors u 11. and y= a. Use row operations on an augmented coefficient matrix to…

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Q: Describe the solution set, x= x₂ of x₁ + 4x2 - 7x3 = -6 in parametric vector form. Select the…

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Q: Please solve and show all work.

A: The answers have been provided.Explanation:

Q: Find all values of c so that (2, 1, c) and (c – 1, 2, 2c) orthogonal. are

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Q: Show that if two real symmetric matrices A, B are congruent then there is a linear change of…

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Q: b. Let B = {T1, đ2, đ3}, C = {71, 72, T3}, be two orthogonal bases for R³. Show that the…

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