Let A Be An N X N Matrix Over C Recall That A Is Diagonalizable If And Only If

Solve problem 3 from Advanced Linear Algebra relatef to Matrices and eigen vectors.

3. Let A be an n x n – matrix over C. Recall that A is diagonalizable if and only if there*exists an invertible matrix B such that B- 1 AB – D where D is a diagonal matrix .Show that A is diagonalizable if and only if (" has a basis of eigenvectors of A .

 
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Let A Be The Cross Sectional Area Of Your U Tube And L Be The Length Of The Port

Let A be the cross-sectional area of your U-tube and L be the length of the portion of the tube that is filled

with fluid. (The total volume of fluid in the tube is thus V= LA .) Show that if the fluid levels are displaced

from equilibrium by “±z ” (see Fig. 1), the increased weight of fluid on one side of the tube compared to the

other is: F=−ρ(hA)g=−2ρAgz,

(where ρ is the density of the fluid and “h ” is the instantaneous height difference between the fluid levels. This

excess weight on one side of the system is what causes the entire volume of liquid in the U-tube to oscillate!)

 
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Let A C3 C3 Given By Nom V 1 Find The Spectrum Of A 2 Find The Minimal Polynom

Solve question 2 with all required steps. This Question is based on Advanced Linear Algebra with Matrices.

2. Let A : C3 -+ C3 given byNOM= V(1) Find the spectrum of A.(2) Find the minimal polynomial of A.(3) Find the generalized eigenspaces of A.(4) Find the Jordan canonical form of A.

 
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Let A Consumer Have An Income Of M And Face Prices P P1 P2

 Let a consumer have an income of m and face prices p = (p1, p2). For each of the following preferences, derive the Hicksian and Slutsky income and substitution effects of a price change of good 1 from p1 to p 0 1 , following the procedure given in class.

(a) u(x1, x2) = x α 1 x 1−α 2 .

(b) u(x1, x2) = min{x1, x2}.

(Note that since this utility function is not differentiable, the demand functions cannot be obtained by the Lagrange method. But, you can solve for them with the help of a graph.) 

 
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Let A Cz Gt Cz Be Given By It V With Respect To The Standard Basis

Solve question 1 from Advanced Linear Algebra.Question is based on vector spaces with standard basis and change of basis.

1 . Let A : CZ -> CZ be given by :IT } ) = Vwith respect to the standard basis . Find a basis of CZ with respect to which the matrixrepresentation of A isA =1010

 
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Let A E L V With A Be An Eigenvalue Of A 1 Show That P 1 Is An Eigenvalue Of P A

Solve the question based on Linear Algebra dealing with eigen values .

1. Let A E L(V) with A be an eigenvalue of A.(1) Show that p(1) is an eigenvalue of p(A) for any polynomial p(x).(2) If A + 0, then A-1 is an iegenvalue of A-1.

 
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Let A How Do I Calculate F 13 B How Do I Find The Domain Of The Function How Do

Let  =

     (a) how do i calculate f (13)

     (b) How do i find the domain of the function  

How do i explain this briefly. Lastly i need to write a answer as a interval or union of intervals.

  • Attachment 1
  • Attachment 2
 
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Let A N The Set Of All Positive Integers In Each Case Give An Example Of A Funct

Let A = N, the set of all positive integers.

In each case, give an example of a function f : A → A with the indicated properties, or explain why no such function exists.

(a) f is not the identity function on A, but f is bijective.

(b) f is one-to-one, but not onto

 
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Let A Pqr B Pqs C Prs D Pqs And E Pqs Where P Q R And S Represent Meaningful Sta

Let A = p∨q∨¬r, B = p∨¬q∨¬s, C = p∨¬r∨¬s, D = ¬p∨¬q∨¬s, and E = p∨q∨¬s, where p, q, r, and s represent meaningful statements. Determine whether A∧ B∧C ∧ D∧E is a tautology. Explain your answer

I have tried to use the and truth table. I got stuck cause there are 4 meaningful statements. Many thanks!

 
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Let A R Rm Defined By An M X 12 Matrix Such That A Vh Av 1 Show That The Ra

Solve question 1 Advanced Linear Algebra related to Vector spaces , Range and Null space . Try to give the solution with detailed necessary steps. Thank u.

1 . Let A : R" — RM defined by an m X 12 – matrix such that A : VH AV .( 1) Show that the range R ( A ) is the span of the column vectors of A ;( 2) Show that the mull space N ( A ) = 10; if and only if the column vectors of A arelinearly independent .

 
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