Please show how to determine whether matrix A is diagonalizable: If possible, find an invertible P and a diagonal D such that P-1AP=D

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Q: 21 40 JJJ. 7yz cos(10x5) dv, where E = sin (2) X = {(x, y, z) | 0 ≤ x ≤ 1,0 ≤ y ≤ x, x ≤ z ≤ 2x}

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Q: 1 3 -633 6. Find a matrix P that diagonalizes A = -3 -5 -3 1

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 20 -6 -6 -3…

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Q: 1. Let S be the triangular region in R3 with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given that S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: can't understand this, Write on paper and write the question too so I can print. Will upvote if…

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Q: Consider the system T1 = T2 = The eigenvectors are dx dt where x is a 2 x 1 vector. a) Find the…

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Q: 4. How far is the center of the circle x2 +

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Q: Determine whether the set S spans R³. If the set does not span R3, then give a geometric description…

A: I have given the answer in the next step. Hope you understand that

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A: Note: As company policy, we solve first question only. Please resubmit the rest of the questions in…

Q: Find two unit vectors orthogonal to both (2, 3, 1) and (-1, 1, 0).

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Q: b. Periodic Signal whose period is defined by g(t) = {1; 0 ≤t≤1 1≤t≤2-

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Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (v₂ - Vgr V₁ + V₂r…

A: Given linear transformation is Tv1, v2, v3 = v2-v1, v1+v2, 2v1 and v = (2, 7, 0),  w = (-5, 1, 6)

Q: C) Use a known series to express f(x)= sin(x²) X as a Taylor series.

A: Given function is f(x)=sin(πx4)x As, we know  sin x = x-x33!+x55!-x77!+…