For each pair of matrices below, answer the following questions:
A = \begin{bmatrix} 8 \end{bmatrix} and B = \begin{bmatrix} 4 \end{bmatrix}
A = \begin{bmatrix} -7 \\ 7 \end{bmatrix} and B = \begin{bmatrix} 3 \\ -6 \end{bmatrix}
A = \begin{bmatrix} 7 \\ 1 \end{bmatrix} and B = \begin{bmatrix} 4 & 9 -5 \end{bmatrix}
A = \begin{bmatrix} -6 & 2 & 4 \end{bmatrix} and B = \begin{bmatrix} 1 \\ 7 \\ -3 \end{bmatrix}
A = \begin{bmatrix} 5 & -9 & 4 & -2 \end{bmatrix} and B = \begin{bmatrix} 9 \\ -7 \\1 \\ -5 \end{bmatrix}
A = \begin{bmatrix} 3 & 2 \\ 9 & 6 \end{bmatrix} and B = \begin{bmatrix} -7 & -4 \\ -5 & -6 \end{bmatrix}
A = \begin{bmatrix} 6 & 5 \\ -3 & -7 \\ 9 & 2 \end{bmatrix} and B = \begin{bmatrix} -8 \\ 3 \end{bmatrix}
A = \begin{bmatrix} -2 & -3 \\ 7 & 6 \end{bmatrix} and B = \begin{bmatrix} 4 & 5 & -1 \\ -7 & 1 & 9 \end{bmatrix}
A = \begin{bmatrix} 9 & -5 & -6 \\ 6 & -8 & 5 \end{bmatrix} and B = \begin{bmatrix} -4 & -1 & 8 \\ -3 & -9 & 4 \end{bmatrix}
A = \begin{bmatrix} 8 & -6 & 5 \\ 7 & -8 & -9 \\ -5 & -7 & 1 \end{bmatrix} and B = \begin{bmatrix} 2 \\ 9\\ -3 \end{bmatrix}
A = \begin{bmatrix} 7 & 9 & -3 \\ -8 & -7 & -6 \end{bmatrix} and B = \begin{bmatrix} -9 & 1 \\ 6 & -2 \\ -5 & 4 \end{bmatrix}
A = \begin{bmatrix} -5 & 5 \\ 3 & -2 \\ -3 & 8 \end{bmatrix} and B = \begin{bmatrix} 2 & 6 & 4 \\ -6 & 1 & -1 \end{bmatrix}
A = \begin{bmatrix} 3 & -2 \\ 8 & -3 \\ 4 & -4 \\ -1 & 5 \end{bmatrix} and B = \begin{bmatrix} -6 & 6 & 1 \\ 2 & 7 & -5 \end{bmatrix}
A = \begin{bmatrix} 0 & 0 & 5 & 5 \\ 2 & -5 & 2 & -4 \\ 1 & 8 & 3 & 6 \end{bmatrix} and B = \begin{bmatrix} 9 & 1 \\ 8 & -2 \\ 7 & 4 \\ 7 & -1 \end{bmatrix}
Consider A = \begin{bmatrix} 7 & 9 & -2 \\ 4 & 1 & -3 \end{bmatrix}. If A is to be multiplied by B, a column matrix, what are the dimensions of matrix B?
If A is a 4 \times 2 matrix and the product AB is a 4 \times 5 matrix, what are the dimensions of B?
A matrix calculation of A = BC resulted in the matrix A = \begin{bmatrix} 6 & -2 & 3 \\ 2 & 1 & -3 \\ -5 & 8 & -1 \end{bmatrix}. If B is a 3 \times 2 matrix, what is the order of C?
The matrix A = \begin{bmatrix} 6 & -2 & 3 \\ 2 & 1 & -3 \\ -5 & 8 & -1 \end{bmatrix} is used in the matrix multiplication BAC, where BAC is a 3 \times 3 matrix.
Consider the matrices A =\begin{bmatrix} 2 & 3 & 7 \\ -6 & -4 & 9 \end{bmatrix} and B = \begin{bmatrix} 0 & -3 \\ -1 & 8 \\ 6 & -2 \end{bmatrix}.
Solve the following equations for n:
Tobias owns two pizza stores, Paris Pizza and Penrith Pizza, at which he sells small pizzas for \$5, medium-sized pizzas for \$11 and large pizzas for \$18. The given table shows the number of pizzas sold at each store on a particular day:
| Small | Medium | Large | |
|---|---|---|---|
| Paris Pizza | 26 | 11 | 28 |
| Penrith Pizza | 19 | 24 | 35 |
A local bakery was selling three different products yesterday. The given table shows the price that each product was sold for and the amount sold:
| Price | Quantity Sold | |
|---|---|---|
| Sandwich | \$6 | 22 |
| Pork roll | \$3 | 17 |
| Bread roll | \$7 | 21 |
In the last cricket season, the Sydney Sickies had 13 wins, 2 ties, 5 draws and 8 losses. The given table shows the points system used in the competition:
| Points | |
|---|---|
| Win | 6 |
| Tie | 3 |
| Draw | 2 |
| Loss | 0 |
Fred's Fast Food sells three different meals. The table shows the number of items they bundle together into each type of meal:
| Hamburgers | Onion Rings | Chicken Nuggets | Pizzas | Soft Drinks | |
|---|---|---|---|---|---|
| Mega Meal | 5 | 9 | 12 | 0 | 4 |
| Hungry Meal | 3 | 8 | 5 | 1 | 3 |
| Crazy Meal | 2 | 5 | 9 | 4 | 1 |
On Saturday, they sold 25 Mega Meals (M), 22 Hungry Meals (H) and 24 Crazy Meals (C). On Sunday, they sold 16 Mega Meals, 19 Hungry Meals and 21 Crazy Meals.
A movie theatre has special charity screenings of a new movie over two nights. On Friday 80 adults and 25 children attended, and on Saturday 195 adults and 51 children attended. Adult tickets are priced at \$20 and child tickets are priced at \$15.
Use matrices to find the total amount spent at the movie theatre on each night.
The quarterly mobile phone bills for three friends in 2019 are represented in the table below:
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 | |
|---|---|---|---|---|
| Sharon | 80 | 87 | 90 | 82 |
| Ray | 76 | 75 | 73 | 74 |
| Neil | 45 | 50 | 52 | 46 |