The subspace defined by H = ((2,0,1), (2, -3,0)) in R3 T:R3 → R4, T(x, y,z) = (2x+y,x+y-z,y-z,x+3y-z)  What is the size of the base of its image in its linear transformation?

Q: What is the rank of linear transformation T from R3 to R3 defined by T(x,y,z)=(y,0,z

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Q: Use Axioms only to prove that the the solution to the equation 2x + y + 3z = 0 is a subspace of R³.

A: The given equation .To prove that the solution to the equation is a subspace of .

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A: given here

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A: x -3 -1 0 2 3 y -4 1 1 5 9

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Q: )* Let T : R³ → R' be a linear transformation for which T(1,1,1) %3D 1,0, 0), T(1,1,0) = (1,3,0, 0),…

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