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  3. 2 consider two linear transformations t and s from

2 Consider two linear transformations T and S from R R defined as T x...

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Algebra

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2 Consider two linear transformations T and S from R R defined as T x y 2x y x y and S x y x cy x 2y Let A and B be matrix representations of linear transformations T and S with respect to the standard bases of R2 respectively Consider the following statements P If c 1 then A and B are similar matrices Q If c 2 then A and B are similar matrices R If c 1 and P AP B then P can be the matrix S If c 1 and P AP B then P can be the matrix T If c 1 then there are infinitely many P satisfying the equation P AP B Which of the following options are true P is true but Q is false Both P and Q are true Both R and S are true R is false but S is true 10 12 1 2 Tis true

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