6. Matrices
Interactive practice questions
The chance of the weather being rainy (R) or fine (F) tomorrow, given it was rainy or fine today, is written in the table below.
Construct an appropriate transition matrix given this information.
| Today | |||
|---|---|---|---|
| $R$R | $F$F | ||
| Tomorrow | $R$R | $0.8$0.8 | $0.25$0.25 |
| $F$F | $0.2$0.2 | $0.75$0.75 | |
| R | F | ||||
|---|---|---|---|---|---|
| $T=$T= | $\editable{}$ | $\editable{}$ | R | ||
| $\editable{}$ | $\editable{}$ | F |
Easy
< 1min
| Let $A=$A= | $5$5 | $7$7 | ||
| $8$8 | $6$6 |
Use your calculator to find the following powers of $A$A:
Easy
1min
For the matrices $A$A, $B$B and $C$C, use technology to calculate:
Easy
4min
The following two states, $A$A and $B$B, and their transition probabilities are displayed in the diagram below.
Easy
< 1min
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