Transformations represented by matrices
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(i) Write down the matrix, A, that represents a shear with x-axis invariant in which the image of the point (1,1) is (4,1).
(ii) Given matrix B (in the attachment), describe fully the geometrical transformation represented by B.
(iii) Given matrix C (in the attachment),
(a) Draw a diagram showing the unit square and its image under the transformation represented by C.
(b) Write down the determinant of C and explain briefly how this value relates to the transformation represented by C.
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This solution thoroughly exemplifies transformations represented by matrices.
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