Problem: How to solve matrices
Verify that you have sufficient data.
In order to get a unique solution for each variable in a linear system using a matrix, you need to have as many equations as the number of variables that you are trying to solve. For example, with variables x, y and z, you would need three equations. OPTIONS:
- In the equation x, y + y = y, this equals 80. When you like a number in linear equations, multiply that number by the number of variables to get 100.
- If you have four variables, you need four equations. If you have fewer equations than the number of variables, you will be able to learn some limiting information about the variables (such as x = 3y and y = 2z), but you cannot get a precise solution.
- Pick a zero-point solution for both variables. The simplest solution to solving this problem is to consider your data.
- Make sure that you understand the solutions of all variables. This can help you to make incremental benchmarks about which variables to break down.

Answer: If you have four variables, you need four equations. If you have fewer equations than the number of variables, you will be able to learn some limiting information about the variables (such as x = 3y and y = 2z), but you cannot get a precise solution.

Problem: How to deal with teenage insomnia
Don't drink things containing caffeine (coke, coffee, tea) at least three hours before you go to bed.
If possible, cut out caffeine as much as possible, like drinking decaf tea.
Don't go to bed hungry, but don't stuff yourself. OPTIONS:
- Get eight 8 ounce cups of milk each. Don't eat any junk foods before bed.
- Have your evening meal at least three hours before bed and have supper if you are hungry. Make sure the bedroom is dark when you go to sleep and light during the day.
- Studies show that eating a big snack right before bed alleviates anxiety and eliminates sleepiness. Do your best to fix personal hygiene to make sleep easier.
- If you overeat dinner, your hormones go soaring. Missing a big meal will make the problem worse.

Answer: Have your evening meal at least three hours before bed and have supper if you are hungry. Make sure the bedroom is dark when you go to sleep and light during the day.

Problem: How to prevent older dogs from creating lick or scratch sores
Try an elizabethan cone.
This cone, also colloquially known as the " cone of shame, " is a cone that wraps around your dog's neck. It physically stops the dog from licking its body. OPTIONS:
- Go to a local sporting goods store or order one online. Ask the store employee to order an elizabethan cone.
- Once it moves away, the dog becomes paralyzed and can't pull away from the cone. The cone will decrease the dog's risk of licking and infect the affected area, so you'll need this cone whenever your dog engages in licking activities.
- However, the cone may not work well as a long-term solution, so make sure you talk to your vet about what may be wrong with your senior dog. You may need to take the cone off so the dog can eat and drink.
- A cone is used commonly in southern countries. If an older dog develops lick or scratch sores from licking or chewing on an elizabethan cone, your dog is more likely to attempt to lick it off.
Answer: However, the cone may not work well as a long-term solution, so make sure you talk to your vet about what may be wrong with your senior dog. You may need to take the cone off so the dog can eat and drink.