Findunitaryoxthogonalto Mlowingdiagonalizenyanormatr'ytorOne20 0(as(b)3-2- 2

A square matrix A is called as orthogonal matrix if AxAT=ATxA=I where AT transpose of matrix A. and…

Answered: Find oxthogonal uncdary diagonalizing…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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S^2 is the sphere, RP^2 is the real projective plane
Use Green's Theorem to evaluate g, xydx + x²y³dy, where C is the triangle with vertices (0,0), (1,0) and (1,2).
4. Consider -- -- *-H = = V3-1 2 k a) For what values of k is v3 in Span {V₁, V₂}? Explain. b) For what values of k is {v₁, v2, V3} linearly dependent? Explain. [-51 6 0
line is parameterized by x = 5 + 2t and y = 6+ 2t. a) Which of the following points are on the section of the line obtained by restricting t to nonnegative numbers (for each, enter Y if the point is on the section, and N if not)? (1,2) : N (3, 4): N (5,6): Y Then, give one more point that is on the section of the line obtained by this restriction: (b) What are the endpoints of the line segment obtained by restricting t to –5 < t < -2? left endpoint : right endpoint : (c) How should t be restricted to give the part of the line to the right of the y-axis (give your answer as an interval for t, for example, (3,8) or [-2,Inf))? t must be in :
6) Let f(z)=(2²-z-1)7. If a²+a+1=0 and Im(a)>0, then find f(a). a) 1280 b) -128g c) 128g² d) -128g² e² 7) Jc(z+1)
7.) Approximate √x² – 3dx using the Trapezoidal rule with 2 trapezoids.
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The function f(x,y) = 10 + x + y, on the disk x^2 + y^2 <= 91) It reaches its maximum value in 10 - 3√22) it reaches its minimum value in 10 + 3√2a) Only 1 is trueb) Only 2 is truec) both are trued) both are false
Find minima, bmakima and Sndtle pointr for the funetionss fex,y)=4x 6xy+ 5y- 20 x +2by 6x2-2x3+3y+6xy 2 -
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Is this statement true or folse? EXPLAIN your answer with examples, Composition of trans fommations two non-inrertible linear be Mrer tible.

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Find oxthogonal uncdary diagonalizing an or matri'y to lMowing tor One 2 (a) (b) 3 -2 -2