A basis for the image of A is A = { -3 -6 -9 am 12 -3 Find a basis for the image of A (or, equivalently, for the linear transformation T(x) = Ax). 9 -3 -2 do ý er 3 21 -8

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Q: 3. Find the ranks and nullities of the following linear maps T: U → V, and find bases of the kernel…

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Q: Let A = A basis for the kernel of A is 9 3 -12 - -9 -3 -3 -1 12 4 - Find a basis for the kernel of A…

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Q: Define T:R-→R² by T(x) = Ax. Find a basis B for R² with the property that [T]B is diagonal. - 3 - 3…

A: Given:T:ℝ2→ℝ2 is defined by Tx=AxWhere A=-3-3-1-5To find basis B for ℝ2 such that TB is diagonal.…

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A: For a linear transformation T, the kernel (Ker(T)) is the set of all vectors that are mapped to the…

Q: Let A = T -3 -8 8 -6 6 -6 -9-2 2 6 -6 6 Find a basis for the image of A (or, equivalently, for the…

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Q: A = A basis for the image of A is طانت سته -3 12 4 -1 1 -3 -2 -3 3 5 Find a basis for the image of A…

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Q: Let A = A basis for the image of A is 9 -6 6 9 Find a basis for the image of A (or, equivalently,…

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Q: Let A basis for the kernel of A is A A basis for the image of A is = Find bases for the kernel and…

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Q: Suppose T: P2→M22 is a linear transformation whose action on a basis for P2 is as follows: 0 3…

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Q: Let B = {B₁ = [], B₂ = 1²²= 1·²=6 D be a basis of M2x2 (R). Suppose that T: M₂×2 (R) → P₂(R) is a…

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