Let S = Find an invertible matrix S and a diagonal matrix D such that S-¹AS = D. D A = = 2 -21 -0.25 4

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A: Given X={1,3,5}, Y={a,b,c,d} And also it's defined  g:X→Y={ (1,b),(3,b),(5,b) } Now Image of 3= b…

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Q: 2) Create a direction field plot for the logistic equation dP dt = 2 P(1 - 1) on the rectangle 0 ≤ ≤…

A: Given: Logistic equation dPdt=2P1-P5            Rectangle 0≤t≤3, 0≤P≤8            Initial conditions…

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Q: Solve for T.  I got as far as T = exp(13.75-(12337/T))

A: It is given that T=e13.75-12337T. The objective is to solve for T.

Q: 3. 4. M M M8 M8 5. Σ 6. n=1 1. I = 2. I = 3. I = (-1)n+122n32n n! 5. I = (-1)n+122n-132n (2η)!…

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Q: Exercise 5.9.1 Write the solution set of the following system as a linear combination of vectors 2…

A: As per rule upload 1 question!!! Please mention if any specific needed

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Q: If i = 0, q a₁+i ≤ aq+2+i ≤ a2q+3+i ≤ a3q+4+i ≤ a4q+5+i ≤ A5q+6+i ≤ A6q+7+i ≤ al+i;

A: Given: The Information that leads to the required proof.We need to prove the equations marked in…

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Q: Find the general solution of the given differential equation. y' = 4y + x² + 7 y(x) =y= 8 + Ce 4x…

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Q: Exercise 5.6.9 Suppose T: R" → Rm is a linear transformation given by Tx=Ax where A is an m×n…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not…

A: A matrix is diagonal , if the algebraic multiplicity and algebric multiplicity of all the eigen…

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Q: Y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'y"=0

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Q: On July​ 25, 2019, Marilyn gives stock with an FMV of​ $7,500 and a basis of​ $5,000 to her nephew…

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Q: Problem: Consider the following initial value problem: x²y" + xy + x²y = 0 with y(0) = 1 and y'(0) =…

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Q: Find the dimension of the subspace spanned by the given vectors. 2 5 1003 9 24 - 19 4 -4 - 3 The…

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Q: III. Consider the function /(x)=x(x-3)² a) Establish the domain of the function, and write it in…

A: This is a question with multiple sub-parts so I solve the first  3 sub-parts.

Q: 2. (Theorem 2.1, Eq. 2.5) By employing change of variables r = ax +y and s= bx +y, prove that the…

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Q: Problem 1. Let E be a real vector space, F be a closed subspace of E, and a € E\F. Set d(a, F)…

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Q: Suppose you deposit $2000 at 9% interest compounded continously. Find the average value of your…

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Q: The 2×2 real symmetric matrix A has two distinct eigenvalues λ1 and λ2. (a) If v1 =(a,b) is an…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-¹AP is diagonal. (If not…

A: Diagonal matrix: A matrix whose non diagonal entries are zero. aij=0i≠jci=j

Q: Suppose a 7 ×9 matrix A has six pivot columns. What is nullity A? Is Col A = R6? Why or why not?…

A: In a 7×9 matrix having a six pivot columns that means rank of matrix  A is  6 now by using  rank…

Q: Determine the equation of the polynomial that pass though the following points: X Y 0 5 1 8 2 7 36 4…

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