Given a vector with Cartesian components (x, y), if scaling is done with the matrix [0.5 0; 0 1.5], which of the following are true? 1. Decreases the vertical by three halves 2. Increases the vertical by three halves 3. Doubles the horizontal 4. Halves the horizontal
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Correct answer: D. 2 and 4 only
Explanation
x′ = 0.5x halves the horizontal component; y′ = 1.5y increases the vertical by a factor of three halves.
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