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The matrix A= 1 -1 ...

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Algebra

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The matrix A= 1 -1 1 1 defines a transformation of R. Select all true statements about this transformation. A A rotates every vector by 45 anti-clockwise. A halves the area. have an inverse? A rotates every vector by 45 clockwise. A stretches every vector by the same factor. For which value or values of a does the matrix A= x -x -x x ? x = -1,0,1 O No values of a O x = 0 O x = = 1

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