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Calculus II - Basic Matrix Operations
Calculus II - Basic Matrix Operations

... It is worth noting that an m × n matrix will have m rows with n entries each, and n columns with m entries each. That is, the number of entries in any row of a matrix is the number of columns of that matrix, and vice versa. This is readily apparent in each of the examples above. The dimensions of a ...
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... RENTAL COSTS The Booster Club for North High School plans a picnic. The rental company charges $15 to rent a popcorn machine and $18 to rent a water cooler. The club spends $261 for a total of 15 items. How many of each do they rent? System of equations: ...
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... One can show that any linear transformation T (x) of the vector space Rn to Rm actually is of the form T (x) = Ax above for some matrix A. In view of this, one speaks of A as the matrix of the linear transformation. As in calculus, an important operation on trasformations is their composition. The m ...
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