Suppose Kristina, Jacqueline and Erin went shopping together at a local produce stand.   Kristina buys 7 pounds of apples, 5 pounds of bananas and 3 pounds of cherries for $25.58 total. Then Jacqueline gets 1 pound of apples, 5 pounds of bananas and 2 pounds of cherries at a total cost of $14.61. Lastly, Erin spends $2.90 on 5 pounds of bananas.   Write this scenario as a system of equations, then solve that system using an augmented matrix and RREF on your calculator before answering the question below.   How much does a single pound of cherries cost?  Round your answer to 2 decimal places.

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.