Linear Alebra
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linear algebra
3. Suppose A is symmetric positive definite and Q is an orthogonal matrix (square with orthonormal columns). True or false (with a reason or counterexample)? a) (Q^(T))AQ is a diagonal matrix b) (Q^(T))AQ is a symmetric positive
asked by michael on December 1, 2010 
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Find the eigenvalues and corresponding eigenvectors of the matrix: 0 0 1 M = 1 0 0 0 1 0
asked by Joe on October 13, 2014 
eigenvalues/eigenvectors
For the standard matrix { 1 2 0} {2 1 1} {0 0 1} I found the eigenvalues to be 1, and +/ 5^1/2 I am having problems finding the eigenvectors of the root 5 values. Can someone set me straight?? Thanks
asked by tracy on March 7, 2007 
Math
Went ahead and did the HW the teach recommended but she did not post the answers and I would like to see if im on the right track. Problem 1: Are the vectors (2,−1,−3), (3, 0,−2), (1, 1,−4) linearly independent? Problem 2
asked by John Rose on May 11, 2013 
masterin quantum
Consider the left shift operator on the space of infinite sequences of complex numbers: L(z1,z2,…)=(z2,z3,…). Is L injective? Yes Yes  incorrect No Is L surjective? Yes Yes  correct No Find the eigenvalues and eigenvectors
asked by JuanPro on April 6, 2015 
Linear Algebra
For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the eigenvalue λ = 3. A = [−3 −18 54 204 0 3 −18 −54 0 0 −3 k 0 0 0 3] k = ? I'm specifically having troubles reducing this
asked by Alistair on December 4, 2016 
math
Suppose the matrix A has eigenvalues lambda_1 = 1, lambda_2 = 1, lambda_3 = 2, with corresponding eigenvectors v_1 = [0 5 3]^T, v_2 = [2 0 1]^T, v_3 = [1 1 0]^T. If you diagonalize A as A = PDP^1 with P = [2 2 0; p_21 p_22 2;
asked by Anonymous on May 6, 2015 
mathmatrices
You are given the 2x2 matrix M= (k 3) , where k is not 2. (0 2) i)Find the eigenvalues of M, and the corresponding eigenvectos. ii)Express M in the form UDU^(1), where D is a diagonal matrix. iii)Hence find the matrix M^n.
asked by Stephan on May 11, 2018 
eigenvalues/eigenvectors
The matrix; [ 1 2 0] [2 1 1] [ 0 0 1] I have found the eigenvalues to be 1 and +/ 5^1/2 but am having problems putting the root 5 values a eigenvectors. I know I sub it back into the matrix { x1 2 0 } { 2 x+1 1 } { 0 0
asked by Rom on March 10, 2007 
precalc
Given a square matrix M, we say that a nonzero vector v is an eigenvector of M if Mv=kv for some real number k. The real number k is called the eigenvalue of v with respect to M. 1. Let v be an eigenvector of the matrix M with
asked by katie on August 7, 2016