In general, it is difficult to show that two matrices are similar. however, if two similar matrices are diagonalizable, the task becomes easier. in the exercise below, show that a and b are similar by showing that they are similar to the same diagonal matrix. a = 3 −1 2 0 , b = −1 1 −6 4

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Mason and christian go to the movie theater and purchase refreshments for their friends. mason spends a total of $45.75 on 3 bags of popcorn and 6 drinks. christian spends a total of $71.50 on 6 bags of popcorn and 4 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a drink, to the nearest cent.

Simplify the expression below -3(10x+4y)+6(6x-2y)