\text{If }A = \begin{bmatrix} 8 & 4 \\ 12 & -10 \end{bmatrix} \text{, find:}
\text{If }A = \begin{bmatrix} -7 & 8 & 14 \\ 0 & 15 & 20 \end{bmatrix} \text{, find:}
\text{Let } A = \begin{bmatrix} 5 & -4 \\ 3 & 0 \end{bmatrix} \text{, } B = \begin{bmatrix} -10 & 6 \\ 2 & -1 \end{bmatrix} \text{and } C = \begin{bmatrix} 8 & 5 \\ -1 & 4 \end{bmatrix}. Find 4A - B + 2C.
Solve for n:
Solve the following matrix equations for matrix A:
The cost matrix for four products at a health store is given by the matrix:
C = \begin{bmatrix} 9.50 & 10.20 & 8.90 & 12.50 \end{bmatrix}
The store adds 120 \% to the cost price to generate the sales price.
Find the sales price of the four products and write them in a 1 \times 4 matrix.
Find the profits from each of the four products and write them in a 1 \times 4 matrix.
In a particular town, 30\% of households own no pets, 50\% of households own one pet, 15\% of households own two pets and 5\% of households own more than two pets.
Organise the percentages into a 1 \times 4 row matrix in the same order as stated above.
If there are 300 households in the town, multiply your matrix to find the number of households in each category. Express your answer as a 1 \times 4 matrix.
A pizzeria is about to mark up prices on their items by 140\%. The table shows their current prices:
Using scalar product, find the marked up prices. Express your answer as a 3 \times 2 matrix.
| Pizza | Drinks | |
|---|---|---|
| Small | \$6 | \$3 |
| Medium | \$8 | \$4.50 |
| Large | \$12 | \$6 |
Glorious Jeans will be offering a 25\% discount on all food items for their Boxing Day sales. The table shows their regular prices:
Using scalar product, find the discounted prices. Express your answer as a 3 \times 2 matrix.
| Small | Large | |
|---|---|---|
| Sandwiches | \$4.50 | \$7 |
| Pies | \$5 | \$8.50 |
| Cakes | \$6 | \$9.20 |