Find the value of w,x,y and z in each of the following equations:
Find the value of x and y in each of the following equations:
Consider the equation \begin{bmatrix} t+4 & 5 & 7 \\ 9 & 6-v & w-6 \\ 6 & 8 & 5y \end{bmatrix}=\begin{bmatrix} 3 & 5 & u \\ x+7 & v & 2 \\ 6 & 8 & y \end{bmatrix}.
Determine the value of:
t
u
v
w
x
y
The following table shows the number of customers walking through the doors of two businesses over the long weekend:
Organise the data into a matrix. Let the position of each element be the same as the position in the table.
State the dimensions of the matrix.
| Saturday | Sunday | Monday | |
|---|---|---|---|
| Cafe | 150 | 130 | 124 |
| Bakery | 134 | 133 | 115 |
The table shows the average temperature (in degrees Celsius) in two cities over the four seasons:
| Summer | Autumn | Winter | Spring | |
|---|---|---|---|---|
| Brisbane | 31 | 22 | 17 | 25 |
| Tripoli | 34 | 24 | 19 | 26 |
The data is organised into the following matrix:
\begin{bmatrix} 31 & 34 \\ 22 & 24 \\ 17 & 19 \\ 25 & 26 \end{bmatrix}In the given matrix what do the rows and columns represent?
State the dimensions of the matrix.
The following are the costs of a train ticket during different time periods:
-
Weekdays: \$7 peak, \$4 off-peak
Weekends: \$12 peak, \$6 off-peak
-
Public Holidays: \$18 peak, \$10 off-peak
Organise the data into a 3 \times 2 matrix.
Organise the data into a 2 \times 3 matrix.
Jack, a chef, is known for the following two recipes:
Crazy Cookie which contains:
360 \text{ g} of yeast
410 \text{ g} of salt
340 \text{ g} of flour
230 \text{ g} of sugar
120 \text{ g} of honey
Scrumptious Surprise which contains:
420 \text{ g} of yeast
390 \text{ g} of salt
330 \text{ g} of flour
200 \text{ g} of sugar
80 \text{ g} of honey
Organise the amounts into a 2 \times 5 matrix.
A long jump competition was down to four competitors in the final. Uther jumped 7.4 \text{ m}, 5.7\text{ m} and 7.5\text{ m} in his attempts. Yuri jumped 6.7\text{ m}, 7.3\text{ m} and 6.9\text{ m}. Vincent jumped 7.1\text{ m}, 5.9\text{ m} and 6.8\text{ m}, and Luigi jumped 5.6\text{ m}, 6.1\text{ m} and 6.3\text{ m}.
Organise the data into a 3 \times 4 matrix.