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.
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 |