( [[u],v}) = ( Au,v)) = (Au)"C v = u"A"C v,(u,L*[v]) = (u,A* v) = u"M A* v.V(9.5)= 11Comparing these expressions, we conclude that the weighted adjoint matric isA* = M-'ATC.(9.6)

Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v To prove: A*=M-1ATC

Answered: (L[u],v ) = ( Au, v)) = (Au)"C v =…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 34EQ

See similar textbooks

Similar questions

Which part Given or Prove of the proof depends upon the a hypothesis of theorem? b conclusion of theorem?
Find the particular number of orthogonal transectories of x2+cy2=1 passing through the point (2,1)
The vectors in Z22 are [ O, O] , [ O, l], [l, O ], and [l, l ]. (How many vectors doesZn 2 contain, in general?)
Can u plz show work also?
prove the corolary
For given set of vectors (kept in sequence) apply Gauss Jordan method to discuss its independency criteria along with interpretation.
Suppose R3 has the Euclidean inner product. Apply the Cauchy Schwarz inequality to the vectors u = (a, b) and v = (cos θ, sin θ) to show that | a cos θ + b sin θ |2 ≤a2 + b2. Note: Do not skip any step to arrive at the result, apply the Cauchy Schwarz inequality to arrive at the result (In the image the enunicoado is better seen)
A point moves so that sum of the squares of its distances from the vertices of a triangle is always constant. Prove that the locus of the moving point is a circle whose centre is the centroid of the given triangle.
a,b,c please using pigeonhole principle
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 288 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.01significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks? Goalkeeper Jump Left Center Right Kick to Left 51 2 44 Kick to Center 35 13 28 Kick to Right 50 10 55 If : H0: Jump direction is independent of kick direction. H1: Jump direction is dependent on kick direction. ***1. Determine the test statistic. x2 = ____ ***2.…
we can express the inner product in terms of the norm.Show that(attached image) for all x, y ∈ ℝn

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

(L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these expressions, we conclude that the weighted adjoint matrix is A* = M-'A™C. (9.6)

(L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L[v]) = (u, A v) = u"MA* v. (9.5) Comparing these expressions, we conclude that the weighted adjoint matrix is A* = M-'A™C. (9.6)