Ex.2. Let t : R3 → R3 be a linear transformation such that, t (а, b, c) %3 (За + с, — 2а + b, -а + 2b + 4c). what is the matrix of t in the ordered basis {a,, a,, ɑz}, where а - (1, 0, 1), а, 3 (-1, 2, 1), a, 3 (2, 1, 1).

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Q: 3. Prove that ox + 6x -4X12 is irreducible over Q.

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Q: Example 3: Find the coordinate matrix of x (3, 19, 2) in R³ relative to the basis B' = {(8, 11,0),…

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