Do the four matrices span V = M₂ (R) as a vector space? What about when viewed in V: = M₂ (F3)? J], [2] 02 01 10 " 00 1 0 10 0 1

Q: Let ^= [1] -6 Find a unit vector x whose first component is positive at which Ax has maximum length.…

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Q: Do question 11

A: Step 1: Step 2: Step 3: Step 4:

Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: -91 Let y = -3 and u = and 2 orthogonal to u. x₁ = 4 -2 Write y as the sum of two orthogonal…

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A: Note: As per rule I need to solve only first three subparts.

Q: 9. Show that the following statements about two vectors (a, b), (c,d) = R² are equiv- alent. (a) ad…

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Q: sider the ordered bases B= ((4, –9), (–3,7)) and C = ((4,3), (–2,4)) for the vector space R’ %3D

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Q: Let A: = -7 2 6 -4 -1 - 9 6 5 7 5-8 3 Find a nonzero vector v in Col(A).

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Q: Find the coordinate vector [x]R of x relative to the given basis B= {b1, b2, b3}. 1 4 1 - 6 b, 0 ,…

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Q: (3) Let L be the line y 2r in the plane. Find a matrix C such hat for every vector H plane, the…

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Q: E Let p 8x + 4x + 3. Find the coordinate vector of p relative to the following basis for P2, Pi = 1,…

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Q: Consider two bases B = {b1,b2} andC : such that bị = cq – 4c2 and b2 = 6c1 – 5c2. Find the…

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Q: Compute the scalar triple product u ( x w) of the vectors u = (0, 7, 6 (-8,0, -3), and = (3, -8,9).…

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