U5D7 Review Matrices Apr17

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What are the dimensions of the matrix?

1 x 2

2 x 1

1 x 1

2 x 2

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What are the dimensions of the matrix?

2 x 3 x 1

4 x 2

3 x 2

2 x 4

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Which matrix represents the system?

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Use the following matrices to answer questions 4 - 6.

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For #7 - 11.

Use an inverse matrix to solve the linear system.

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Three numbers add up to 217. The second number is 3 more than the first number. The third number is 5 less than the second number.

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Is there a unique solution?

Yes there is a unique solution.

No there is not a unique solution.

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Three numbers add up to 345. The second number is 13 more than the first number. The third number is 11 less than the second number.

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Is there a unique solution?

Yes there is a unique solution.

No there is not a unique solution.

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Model Real World Problems

A rental car company charges a flat daily fee plus a charge for each mile driven. A car rented for 5 days and driven for 300 miles costs $178, while a car rented for 4 days and driven for 500 miles costs $197. Find the daily fee and the charge for each mile driven.

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Choose the augmented matrix that models the situation.

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The total cost of five oranges and seven avocados is $25.04 . The cost of each orange is $1 more than the cost of each avocado.

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Is there a unique solution?

Yes there is a unique solution.

No there is not a unique solution.

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U5D7 Review Matrices Apr17

What are the dimensions of the matrix?

What are the dimensions of the matrix?

Which matrix represents the system?

Is there a unique solution?

Is there a unique solution?

Choose the augmented matrix that models the situation.

Is there a unique solution?

What are the dimensions of the matrix?

What are the dimensions of the matrix?

Which matrix represents the system?

For which of the following is the solution defined (defined = you are allowed to do the operation and get a solution)? Select all that apply.

Select all the matrices with a determinant.

Select all the matrices that can be multiplied by D. example (D)(X) = so D goes first.

Is there a unique solution?

Is there a unique solution?

Choose the augmented matrix that models the situation.

Is there a unique solution?

For which of the following is the solution defined (defined = you are allowed to do the operation and get a solution)? Select all that apply.

Select all the matrices with a determinant.

Select all the matrices that can be multiplied by D. example (D)(X) = so D goes first.