Question: A diagonal matrix with diagonal elements +1 or 1 is called a signature matrix. The matrix 1 U U S: 0 1 0 0 0

A diagonal matrix with diagonal elements +1 or 1 is called a signature matrix. The matrix 1 U U S: 0 1 0 0 0 1 is an example of a 3 X 3 signature matrix. If S is a signature matrix, and A is a square matrix that satises ATSA = S, (12) then we say that A is pseudo-orthogonal with respect to S. Show that if A satisfies (12) then ASA" = S. In other words, if A is pseudo-orthogonal with respect to S, then A is also pseudo-orthogonal with respect to S

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

4.10 Suppose that the probabilities {i, 1 i t} of a multinomial distribution depend on the parameter vector = (1,...,d). Show that the expected information matrix for is given by: J = mD r1D,...

please help me with this asap do it carefully and clearly plz. # Import library import numpy as #(2 points) # Function register_Arun_3D # Input: Two 3x matrices of points to register: # fixed dataset...

1 In the previous problem set, problem 6a) asked to solve a system of linear equations using Gauss elimination. Suppose A is the matrix of the system: A=2611124010 a) Write this Gauss climination in...

Suppose A = S?S?1, where ? is a diagonal matrix with diagonal elements ?1,...,?n. Write S = s1 sn ; that is, si is the ith column of S. 3. Suppose A = SAS-1, where A is a diagonal matrix with...

5.17 Many of the cautionary tales regarding extensions of results for nonnegative numbers to nonnegative definite matrices are due to the fact that matrices are not necessarily commutative. Two...

Any symmetric diagonalizable real valued matrix A in R* admits an eigenvalue decomposition of the following form: A = - UAUT, where the columns of U are orthonormal. This leads to a decomposition of...

Please explain your code so I can learn. Thank you! Problem 4: Consider simulation of the bivariate normal distribution with mean / = (1, 2) and covariance matrix = = 10.9 1). by the...

= = Let G be an n x n symmetric matrix with the spectral decomposition G= QTDQ, where Q is an n x n orthogonal matrix (i.e. QQQQ I), D= diag(A... An) is an n xn diagonal matrix whose diagonal...

A diagonal matrix has the elements shown below. 341 = 16 a22 = -8.7 233 = 5.4 344 = 1.3 355 = -6.9 Which is the diagonal matrix containing these elements?16 -3.7 6 1.7 -8.8 0 -8.7 -4.14 1 7 O 5.4 -9...

Please show your work. thank you Problem : Consider simulation of the bivariate normal distribution with mean # = (1,2) and covariance matrix 1 E= 09 1). by the Metropolis-Hastings algorithm, using a...

QUESTION 4 Give a brief outline by what you understand by the term 'Sustainable Urban Drainage (SUDS), you may use diagrams to support your answer. (10 marks) (a) (b) (a) Outline 2 methods by which...

New York City taxi fares (in dollars) for the month of January 2013 are described by the density histogram in Fig. 145. There were fares over $60, but the bars in the density histogram would not be...

\ table [ [ MeITSUCDMPANV Cemparive Balewe sherts Bevember di ] , [ Aasets , 2 0 2 0 , 2 0 1 9 ] , [ Cash , $ 7 3 , 0 0 0 , $ 2 2 , 0 0 0 ] , [ Accounts recrivable, 1 7 , 0 0 0 , 7 6 . 0 0 0 ] , [...

practice exception handling via catching or throwing the exception. Recall that we catch exceptions via surrounding the exception with a try/catch block. If we cannot catch the exception then we need...