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Calculate the standard matrix for each of the following linear transformations T.
a. T: R^2 -> R^2 given by rotating -pi/4 counterclockwise about the origin and then reflecting across the line x_1 - x_2 = 0.
b. T: R^3 -> R^3 given by rotating pi/2 counterclockwise about the x_1-axis (as viewed from the positive side) and then reflecting across the plane x_2 = 0.
c. T: R^3 -> R^3 given by rotating -pi/2 counterclockwise about the x_1-axis (as viewed from the positive side) and then rotating pi/2 about the x_3-axis.
Select five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values
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Assume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C"..
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Which of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3.
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