Let-1-1A =0 15 -2(1) Find a matrix P that diagonalizes A.(2) By definition, the matrix P you found in part (1) makes P-'APa diagonal matrix, say D. Write down this matrix D withoutfinding P-1.

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Answered: Let -1 -1 A = 0 15 -2 (1) Find a matrix…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Pls help ASAP. Please show all calculations and show all of the steps.
Please answer question 2
Use the matrix P to determine if the matrices A and A' are similar. -1 -1 P=[11] 2 p-1 = 6 [2], 15 -20 -12 P-¹AP = 10 10 ==-₁-7] A' = ⁹]
Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are defined.
Find the change of coordinates matrix, P, from C to B if B = {b₁,b₂), C = {c₁, c₂), b₁ = (7,-2), b₂ = (2, -1), c₁ = (4,1), c2 = (5,2) O P = [a₁ a₂], a₁ = (3,-2), a₂ = (8,-5) O P = [a₁ a₂], a₁ = (8,-5), a2 = (3,-2) ○ P = [a₁ a₂], a₁ = (2,-5), a₂ = (3,-8) OP [a1 a2], a₁ = = (3,-8), a2 = (2,-5) O P = [a₁ a₂], a₁ = (-3,2), a₂ = (-8, 5)
Let the transformation T : IR³ →R² be given by the formula T(x,,X2,X3) = (2x, –x,, X, +3x;). Find the standard matrix of this transformation and write it in matrix multiplication form. Check correctness of your answer for the point (1,4,-3).
Please can you help me with this. I got it all wrong
please help
If A is an nxn invertible matrix, then Select one: -1 a. A= det(A)/adj(A) -1 b. A"= -1*det(A)/adj(A) -1 c. A"= -1*det(A)/adj(A)" -1 d. A = adj(A)/det(A)
How do you calculate when the matrix is equal to 0 ?

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Let -1 -1 A = 0 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you found in part (1) makes P-'AP a diagonal matrix, say D. Write down this matrix D without finding P-1.