O Consider the set R. Prove: (i) VxER, x 0 = 0; (ii) If x y = 0 then either x = 0 or y = 0, or x = y = 0.

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Q: 43. Choose the number q so that (if possible) the ranks are (a) 1, (b) 2, (c) 3: 6 4 2 -3 -2 -1 9 6…

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Q: 1. Determine a possible equation for each polynomial function. a) f(x)= d) f (x) = c) f(x) = f) f…

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Q: 47.) al Let n = P₁ P2... 92 the Prime factorization of n That a ak EN that is, ai 20) Positive…

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Q: Let A,X EM, (C) such that A is positive semidefinit and AX = XA Show that A¹/2X = XA¹/2.

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Q: 4 Solve the following y + xy = xy 01+y³e³²/2 = Ce³z² /2 01-³e³/2 = Ce³²/2 01-y³ = Cy³e³²/2 01+y³ =…

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Q: prove v(x1) = v(xn) → x1 injective if x1 ‡xn → v(x1) ‡ v(xn) v →x1 = xn ⇒

A: To prove: vx1=vxn→x1=xn⇔x1≠xn→vx1≠vxn

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A: Given Data: H^=hω03i0-i30002 ,  B^=b07i1-i-i71+i1+i1-i6,D^ =002α02α 02α0-3α

Q: prove V injective if x1 ‡xn → v(x1) = v(xn)

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Q: Consider the two functions given below: Function 1: f(x) = −8x² + 4x + 40 Function II: 30 20 10 -50…

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A: Please comment if you need any clarification. If you find my answer is useful please put thumbs up.…

Q: D²y(t) + 12Dy(t) + 36y(t) = 1t²³ y(0) = 1; Dy(0) = 0

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Q: sketch! Convert to polar coordin is the region in the first quadrant enclos

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A: Given P=A+B+CQ+CP-bQeP-dQ                       (1) Q=A+B+DP+CQ-bPeQ-dP                      (2) We…

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