Suppose T: R4→P3 is an isomorphism whose action on a basis for R4 is as follows: fil-attiva frontana ofatistiana fratitu -2x³-x²-x-2 T +x²+2x+2_T = = 2x³+x²+2x+3_T = 2x³+x²+x+3 1 1 T-¹ (px³+qx² +rx+s) = 0 Find the inverse transformation T-1 and give its action on a general polynomial, using p, q, r, and s as constants. O O O 0 0 0 1 0

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Q: what is the result of the lirectional multiplicaciohof herectors =3₁-1₁2] [ 4.2.1]

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A: For the solution follow the next steps.

Q: 11. Determine if the following polynomials are reducible or irreducible over Z7: a) x³ + 5x² + 4x +…

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Q: if T is an operator in a real vectorial space with characteristic polynomial (x²-2x+5)². What are…

A: For the solution follow the next steps.

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Q: 8-4) Let T:R² R² be a linear transformation such that T(x₁, x₂)=(x₁+x2. 4x+5x₂). Find x such that…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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Q: — 2х21 Show that T: R² → R² defined by T()= - 15.) is an X2 isomorphism. X1

A: T is a n isomorphism

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Q: Let →a=⟨−4,1,−2⟩a→=⟨-4,1,-2⟩ and →b=⟨−2,−3,4⟩b→=⟨-2,-3,4⟩. Find the projection of →bb→ onto →aa→.…

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Q: Can you help me explain why T is onto if Rank(T)=2 ?

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