ineedhelp2285

10.07.2019 • 

Mathematics

Linear algebra with applications (9th edition) chapter 6.8, problem 20me bookmark show all steps: on problem in some of the earlier exercises, we used matlab's eigshow command to look at geometric interpretations of the eigenvalues and eigenvectors of 2 x 2 matrices. the eigshow facility also has an svdshow mode that we can use to visualize the singular values and singular vectors of a nonsingular 2 x 2 matrix. before using the svdshow facility, we establish some basic relations between the right and left singular vectors. let a be a nonsingular 2 x 2 matrix with singular value decomposition a-usvt and singular values s1s11 and s2 22. explain why each of the following are true: (a) av- us b)av1-su and av2 s2u2 (c) v 1 and v2 are orthogonal unit vectors and the images av1 and av2 are also orthogonal. (d) iavill = s, and iavall = s2 step-by-step solution

Ответ:

chrissycherry

06.04.2020

Mathematics

---

1.   Using the formula for nth term ( = a1 * r^(n-1)

the 5th term = (-2)*(1/4)^4

= -2/256  = -1/128  (answer)

2.   The 4 terms between 1 and  32 are found as follows:-

a1 = 1 and  a6 = 32   so  32/1 = a6/a1

 therefore 32/1 = a1r^5 / a1

so r^5 = 32 and r = 2

so 4 terms are a1r,  a1r^2, a1^r^3 and a1r^4

= 2, 4, 8, 16   (answer)

3.   You need the sum of 10 terms where a1 = -2 and r = 3

S10  = -2 * (3^10 - 1) / (3 - 1)

= -59058

4.  Sum to infinity  = a1 / (1 - r)

a1 = 1 and r = 1/2

so the answer is  1 /  (1 - 1/2)

= 1 / 1/2

= 2   (answer)

---

0,0(0 оценок)