MATH Integrated Math III  - Unit 11: Applications of Matrices
For the first twelve problems, refer to the following matrices.

1) Give the dimensions of matrix A.

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2) Give the dimensions of matrix B.

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3) Give the dimensions of matrix C.

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4) Give the entry at the indicated address.

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5) Give the entry at the indicated address.

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6) Give the entry at the indicated address.

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For the next six problems, perform the indicated matrix operations. If it is not possible, explain why. Just type the numbers, row by row, and don’t worry about the matrix symbol. Make sure you have the correct number of rows and columns. For example, the answer to the sample problem below would be written as indicated.

Use the matrices below for the following problems.

7) –A

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8) A + B

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9) –2C

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10) B – A

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11) A + C

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12) 2A – B

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Equal matrices are given in the next two problems. Write sentences of equality to solve for “x” and “y”.

13) Solve for “x” and “y”.

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14) Solve for “x” and “y”.

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For the next two problems, sketch the original polygon on graph paper and then perform the operation to translate or transform the polygon by sketching the translation or transformation.

15) Solve.

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16) Solve.

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Find each product, if it exists. Type your answers row by row as instructed previously. Make sure you have the correct number of rows and columns.

17) Find the product.

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18) Find the product.

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19) Find the product.

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20) Find the product.

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Short Answer

21) If “A” represents a matrix, explain what “–4A” represents.

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22) If “M” is a 5 x 3 matrix, explain what the numbers 5 and 3 mean.

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Use the matrices below to answer the next three questions.

23) Which pair(s) of matrices above can be added? Explain.

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24) Which pair(s) of matrices above can be multiplied? Explain.

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25) For the given matrices, does AC equal CA? Explain.

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