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(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leaving the vertical component unchanged).
(b) Determine the matrix that first performs a horizontal compression by a factor 1/2 (leaving the vertical component unchanged) for a two-dimensional vector, and then rotate the resulting vector 180° anticlockwise.
(c) Are the two matrices in (a) and (b) the same? Explain why, or why not.
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Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
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A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one
STATISTICS AND PROBABILITY : Statistics are the only tools by which an opening can be cut through the formidable thicket of difficulties that bars the path of
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