Find the standard matrix representation for each of the following linear operators: (a)
Chapter 4, Problem 5(choose chapter or problem)
Find the standard matrix representation for each of the following linear operators: (a) L is the linear operator that rotates each x in R2 by 45 in the clockwise direction. (b) L is the linear operator that reflects each vector x in R2 about the x1-axis and then rotates it 90 in the counterclockwise direction. (c) L doubles the length of x and then rotates it 30 in the counterclockwise direction. (d) L reflects each vector x about the line x2 = x1 and then projects it onto the x1-axis.
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