Find the nth root of the matrix 8. An nth root of a matrix B is...

Question

Question

Find the nth root of the matrix 8. An nth root of a matrix B is a matrix A such that A - 8. n - 2

math Advanced-Math

Answer 1

Answer #1

A 8 danmahix 25 tohere n 2 A C

Answer 2

Similar Homework Help Questions

29. A matrix B is said to be a square root of a matrix A if...

29. A matrix B is said to be a square root of a matrix A if BB A (a) Find two square roots of A = (b) How many different square roots can you find of - (c) Do you think that every 2 x 2 matrix has at least one square root? Explain your reasoning
fekri/n k0,1,...,n-1}, called the nth roots of unity. A primitive root of unity is = eri/n...

fekri/n k0,1,...,n-1}, called the nth roots of unity. A primitive root of unity is = eri/n for which 2. The roots off(x) = x"-1 are the n complex numbers Cn and are ged(n, k) 1. It is easy to see that Q(C) is the splitting field of zn - 1. (a) For each n 3,... ,8, sketch the nth roots of unity in the complex plane. Use a different set of axes for each n. Next to each root, write...
The symmetric matrix A below has distinct eigenvalues 10,-2 and-8. Find an orthogonal matrix P and...

The symmetric matrix A below has distinct eigenvalues 10,-2 and-8. Find an orthogonal matrix P and a diagonal matrix D such that pTAP-Duse the square root symbol 'where needed to give an exact value for your answer. -1 47 A- 4 2-4 0 0 0] P=10 0 0| D=10 0 0

4. Find the nth Maclaurin polynomial for the function.

4. Find the nth Maclaurin polynomial for the function. f(x) = e-x, n = 5 P5(x) = _______ 5. Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) = _______
11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc 11...

11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc 11. Find the nth Maclaurin polynomial for the function a) f(x)e2,n 3 b) f(a)cos3x, n 4 12 Find the intommlc
Find a formula for the nth partial sum of the series and use it to find...

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 13 13 (n + 1)(n+2) What is the formula for the nth partial sum of the series? Sn=0 What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer. (Type an integer or a simplified fraction.) O A. The sum of the series is...

Find a formula for the nth term of the sequence. - 1,4, -9, 16, -25, ......

Find a formula for the nth term of the sequence. - 1,4, -9, 16, -25, ... Determine the sequence's formula in terms of n. an n21 Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 6' 9' 12' 15' 18' = an for n 21
(Only need help with parts b and c) Consider the transition matrix If the initial state is x(0) =...

(Only need help with parts b and c) Consider the transition matrix If the initial state is x(0) = [0.1,0.25,0.65] find the nth state of x(n). Find the limn→∞x(n) (1 point) Consider the transition matrix 0.5 0.5 0.5 P 0.3 0.3 0.1 0.2 0.2 0.4 10 a. Find the eigenvalues and corresponding eigenvectors of P. ,-| 0 The eigenvalue λι The eigenvalue λ2-1 The eigenvalue A3 1/5 corresponds to the eigenvector vi <-1,1,0> corresponds to the eigenvector v2 = <2,1,1>...
8. (From Differential Equations and Linear Algebra by Goode and Annin) We say that a matrix...

8. (From Differential Equations and Linear Algebra by Goode and Annin) We say that a matrix B is a square root of A if B2 = A. (a) Show that the if D= diag(41,...,m), then D = diag(/11,...,m). (b) Show that if A is nondefective and P-AP = D for P invertible, then PDP-1 is a square root of A. (c) Find a square root for A= 3 (d) Is the square root of a matrix unique?

Write a formula for the general term or nth term for the sequence. Then find the...

Write a formula for the general term or nth term for the sequence. Then find the indicated term. 6, 8, 10, 12, 14, ..., 210 an-(Simplify your answer. Type an expression using n as the variable.) a 10 (Simplify your answer.)