dy 1+3x2 Consider the initial value problem Determine the largest Зу? — бу 1 d. y(0) interval of existence of the solution y(x).

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Q: Consider the Following matrise [: A= 2 3 4 b) Find the transformatón to peach a diagonal form.

A: Fist of all we will show that A is diagonalisable , then we will find the required transformation 

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A: As per our guideline we are supposed to answer only first three subparts. Kindly repost other parts....

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Q: )Determine the eigenvalues and eigenvectors of the following matrix. 3 -2 1] 2 -4 3 16 -4

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Q: 9. Assume that the stated inverses exist, prove (A+ B)-1 = A-'(A-1+B-!)-'B-1.

A: Here we prove a equivalent statement. 

Q: Consider the Following matrix A= 2 3 4 a) Find all the egenialues and eigenvedors

A: The solution is given as

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Q: Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval f...

A: We can solve this by using formula which ask in question

Q: (a) Suppose that T : R° → R° has a 5-dimensional eigenspace for the eigenvalue 1. Then show that eit...

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Q: 2. Proofs 1. Prove the following statement. Ve >1 3d 21 Vx > d : c< 3x.

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Q: Determine which is a function from x to y. {(d,a), (a.a), (e,b), (b,c)} {(2,1), (5,2), (5,3), (6,4)}

A: The solution is given as

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Q: Write the equation in slope intercept form of the line that has slope 4 and y-intercept (0,7)

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...