Exam 7: Matrix Algebra

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Write A = Write A =    if A is 2 × 3 and    = 2i + j. if A is 2 × 3 and Write A =    if A is 2 × 3 and    = 2i + j. = 2i + j.

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If A = If A =    ,B =    ,and C =    ,find BA - C. ,B = If A =    ,B =    ,and C =    ,find BA - C. ,and C = If A =    ,B =    ,and C =    ,find BA - C. ,find BA - C.

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What is the change in sales between 1995 and 1996?

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    =     = =

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Using the method of reduction,solve the system: Using the method of reduction,solve the system:

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Find transpose of Find transpose of    . .

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Find the inverse matrix of Find the inverse matrix of    . .

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The spa staff determines that a client should take 140% of the RDA of vitamin A,140% of the RDA of vitamin C,and 190% of the RDA of vitamin D each day.How many tablets of each supplement should he take each day?

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Perform the indicated operations and simplify your answer: Perform the indicated operations and simplify your answer:    + 2  + 2 Perform the indicated operations and simplify your answer:    + 2

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Solve by the method of reduction: Solve by the method of reduction:

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Perform the indicated operations and simplify your answer: 3 Perform the indicated operations and simplify your answer: 3    - 4  - 4 Perform the indicated operations and simplify your answer: 3    - 4

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Which of the following are reduced matrices?

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If A = If A =    ,use row reduction to determine    providing it exists. ,use row reduction to determine If A =    ,use row reduction to determine    providing it exists. providing it exists.

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