Let -3 1 0 -1 A = -3 -4 4 -3 -4 4 Find the dimension of the kernel and the dimension of the image of the linear transformatin T(x) = Ax. dim(Ker(A)) dim(Im(A))

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Q: Let -2 -3 1 3 A = -4 -10 -5 1 11 Find dimensions of the kernel and image of T(7) = A7. dim(Ker(A))…

A: Dimensions of ker(A) and I'm(A)

Q: -3 -1 -4 1 A = -1 1 -1 1 6. Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) =…

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Q: A2 A3 Ak A1, A2,... , An all invertible,

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Q: -4 -3 2 -1 A = -5 -2 4 -10 -4 -3 Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) =…

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Q: Question 2: For which real values of a do the polynomials P1(t) = at? -t-; P2(t) = - + at -; P3(t) =…

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Q: Find dimensions of the kernel and image of T(z) = Az. dim(Ker(A)) dim(Im(A)) E E -4 -3 -6 ප ස ප 8…

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Q: 1 a b a,b,c e R including A = 0 10 0 0 100 Let the matrix be given. According to this,

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Q: 1+ 3k 1- 3k] 1 – 3k 1+3k 2 - prove that AK: 2 1 For A : -1 -

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Q: Find dimensions of the kernel and image of T(x) = Ax. dim(Ker(A)) dim(Im(A)): = = A = 1 2 -8-2 4 -3

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Q: (5) Let T P₂ → P₁ represented by T(ao + a₁ + a₂x²) = a₁ + 2a₂x. Find kernel of T.

A: We have to find kernel of T.