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Multiply Matrices and Interpret Non-Commutativity
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.141 Multiply Matrices and Interpret Non-Commutativity
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Let A represent a shear [[1, 3]; [0, 1]] and let B represent a scaling [[4, 0]; [0, 1]]. Which statement is true?
A
AB = BA because scaling and shearing always commute.
B
Only AB is defined.
C
Neither is defined.
D
AB ≠ BA because scaling first changes the amount the shear adds to x.
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