For each pair of matrices below:
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 are the dimensions 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, and medium-sized pizzas for \$11 and large pizzas for \$18. The 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 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 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 |