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suppose a and b are both orthogonally diagonalizable and ab ba explain why ab is also orthogonally
a householder matrix or an elementary reflector has the form q i - 2uut where u is a unit vector show that q is an
let a pdp-1 where p is orthogonal and d is diagonal and let lambda be an eigenvalue of a of multiplicity k then lambda
let u be a unit vector in rn and let b uuta given any x in rn compute bx and show that bx is the orthogonal projection
if a b and c are distinct numbers then the following system is inconsistent because the graphs of the equations are
consider the problem of finding an eigenvalue of an n x n matrix a when an approximate eigenvector v is known since v
let u and v be linearly independent vectors in rn that are not orthogonal describe how to find the best approximation
use the steps below to prove the following relations among the four fundamental subspaces determined by an m x n matrix
let t rn rarr rn be a linear transformation that preserves lengths that is t x x for all x in rna show that t also
if det a is close to zero is the matrix a nearly singular experiment with the nearly singular 4 x 4 matrix a in
compute the determinants using a cofactor expansion across the first
mention an appropriate theorem in your explanationlet u be a square matrix such that utu i show that detu
mention an appropriate theorem in your explanationsuppose that a is a square matrix such that det a4 0 explain why a
let j be the n x n matrix of all 1s and consider a a - b i bj that isconfirm that det a a - bn-1 a n - 1b as
a prove that the function defined by f1z 0intinfint3e-zt dt is analytical at all points z for which rez gt 0b find a
compute the adjugate of the given matrix and then use theorem 8 to give the inverse of the
apply the result of exercise 16 to find the determinants of the following matrices and confirm your answers using a
1 wang distributors has an annual demand for an airport metal detector of 1400 units the cost of a typical detector to
need assistance with this assignmentnbspnbspconducting an organizational assessmentthe success of an organization
let s be the parallelogram determined by the vectorscompute the area of the image of s under the mapping x rarr
a lumber company operates a sawmill that converts timber to lumber or plywood a marketable mix of 1000 board feet of
what are the information that must appear labels of containers holding hazardous
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can you help me break down this question how do civil society organizations shape democratic participation especially