Problem: Write an article based on this summary: Eat mindfully. Stay active. Be careful with caffeine and energy drinks. Get enough sleep. Recognize when "healthy habits" become unhealthy and obsessive. Recognize the difference between stress and mental illness. Prepare for weather.

Answer: Try to fill 1/3 of your plate with fruits and vegetables, and only eat one or two desserts per day. This will help you stay healthy and energized at school.  The "freshman 15" myth has been debunked by research: most first-year students only gain a small amount of weight, and this is normal for their age. Frequent, heavy drinking is the biggest risk for serious weight gain. Whether you hit the gym a few times a week, or you join the aqua fitness class, or enjoy refreshing yoga, staying active is good for your mind as well as your body. The endorphins released during exercise can help you deal with stress.  If organized fitness isn't your thing, try walking, jogging, or going to the gym with headphones on. They are addictive and can cause your energy levels to crash after the initial effect has worn off. Most students do best with 8-9 hours of sleep, though it varies by person. Sleep clears toxins from the brain, and it's important for your health. Get enough rest. You will get better grades if you do, and your health will be better.   If you don't get enough sleep on one night, get extra sleep to make up for it. Don't try to test your limits. In extreme cases, sleep deprivation can kill people. Routine sleep deprivation may shorten your lifespan. Try to keep a consistent sleep schedule. Students whose sleep schedules are more consistent have higher GPAs. College years are the peak years for eating disorders, which can be deadly. Know the signs of an eating disorder and see a doctor right away, before things get worse.   Do you often think about your size, diet, or exercise habits? Do you feel guilty about eating, or keep your eating habits secret? Do you use starvation or exercise to punish yourself? Are you always pushing yourself to lose more and more weight? Everyone gets stressed sometimes. But if your stress is severe or interfering with your life, then you have a problem. Anxiety and depression are on the rise among young people. See a doctor if you experience one or more of the following:   You can't focus in class because of stress You miss class because of stress-related headaches, stomachaches, fatigue, or other illnesses You find yourself losing interest in your favorite hobbies or friendships Your eating or sleeping habits (eating/sleeping too much or too little) are harmed by stress You are becoming more and more isolated due to stress or fatigue You think it would be nice to die so you could escape from your problems Your stress is interfering with your ability to have a happy, functional life Find out if you'll need a winter coat or a raincoat ahead of time.


Problem: Write an article based on this summary: Write both possible equations. Find the dimensions of your answer. Find the value of the first element Repeat the dot product process for each position in your matrix.

Answer: In "ordinary math" with scalar quantities, multiplication is commutative; 2 x 6 = 6 x 2. This is not true for matrices, so you may need to solve two problems:  [A] * [B]-1 is the solution x for the problem x[B] = [A]. [B]-1 * [A] is the solution x for the problem [B]x = [A]. If this is part of an equation, make sure you are performing the same operation on both sides. If [A] = [C], then [B]-1[A] does not equal [C][B]-1, because the [B]-1 is on the left side of [A] but the right side of [C]. The dimensions of the final matrix are the outer dimensions of the two factors. It has the same number of rows as the first matrix, and the same number of columns as the second matrix.  Returning to our original example, both (13263913){\displaystyle {\begin{pmatrix}13&26\\39&13\end{pmatrix}}} and (313−413−213713){\displaystyle {\begin{pmatrix}{\frac {3}{13}}&{\frac {-4}{13}}\\{\frac {-2}{13}}&{\frac {7}{13}}\end{pmatrix}}} are 2 x 2 matrices so the dimensions of the answer are also 2 x 2. To take a more complicated example, if [A] is a 4 x 3 matrix and [B]-1 is a 3 x 3 matrix, then the matrix [A] * [B]-1 has dimensions 4 x 3. . Refer to the linked article for full instructions, or refresh your memory with this summary:  To find row 1, column 1 of [A][B]-1, find the dot product of [A] row 1 and [B]-1 column 1. That is, for a 2 x 2 matrix, calculate a1,1∗b1,1+a1,2∗b2,1{\displaystyle a_{1,1}*b_{1,1}+a_{1,2}*b_{2,1}}. In our example (13263913)∗(313−413−213713){\displaystyle {\begin{pmatrix}13&26\\39&13\end{pmatrix}}*{\begin{pmatrix}{\frac {3}{13}}&{\frac {-4}{13}}\\{\frac {-2}{13}}&{\frac {7}{13}}\end{pmatrix}}}, row 1 column 1 of our answer is:(13∗313)+(26∗−213){\displaystyle (13*{\frac {3}{13}})+(26*{\frac {-2}{13}})}=3+−4{\displaystyle =3+-4}=−1{\displaystyle =-1} For example, the element at position 2,1 is the dot product of [A] row 2 and [B]-1 column 1. Try to complete the example on your own. You should get the following answers:  (13263913)∗(313−413−213713)=(−1107−5){\displaystyle {\begin{pmatrix}13&26\\39&13\end{pmatrix}}*{\begin{pmatrix}{\frac {3}{13}}&{\frac {-4}{13}}\\{\frac {-2}{13}}&{\frac {7}{13}}\end{pmatrix}}={\begin{pmatrix}-1&10\\7&-5\end{pmatrix}}} If you need to find the other solution, (313−413−213713)∗(13263913)=(−92193){\displaystyle {\begin{pmatrix}{\frac {3}{13}}&{\frac {-4}{13}}\\{\frac {-2}{13}}&{\frac {7}{13}}\end{pmatrix}}*{\begin{pmatrix}13&26\\39&13\end{pmatrix}}={\begin{pmatrix}-9&2\\19&3\end{pmatrix}}}


Problem: Write an article based on this summary: Send her a note. Get involved in charity work. Use the “Make-A-Wish” foundation. Attend other events she might go to.

Answer:
Selena Gomez receives a large volume of fan letters and notes each day. She does not have time to respond to them all and cannot meet every fan who makes a request. However, If your circumstances are peculiar enough there is some chance that you might be invited to one of her events free of charge. The easiest way to send Selena Gomez a written note is through one of her social media pages.  Facebook: https://www.facebook.com/Selena  Twitter: https://twitter.com/selenagomez  Google Plus: https://plus.google.com/+SelenaGomez/posts  YouTube: http://www.youtube.com/selenagomez Selena Gomez is involved with many well-known charities, including UNICEF. If you get involved with some of the causes and charities that she’s involved in your paths may cross during a charity event. Your contribution or involvement will usually need to be somewhat significant if you hope to get invited to the same events. For example, you could join her cause by volunteering with UNICEF or starting a UNICEF club at your high school. If you do other charity work, you may also be nominated as a UNICEF "do-gooder," which would draw attention to you and your efforts. If you are a terminally ill child and your biggest wish is to meet with Selena Gomez, you can make a request through the Make-a-Wish Foundation. This organization is dedicated to granting the wishes of children who face serious illnesses and this sort of request is not especially unusual. In fact, Selena Gomez has even been known to respond to wishes made through the Make-a-Wish-Foundation in the past. To have your wish granted by the foundation, you must have a referral. The referral can come from yourself, a parent, or a medical professional. You must be between the ages of 2-1/2 and 18 at the time of referral, and you must have a life-threatening medical condition. She may show up to some events that involve a variety of stars without focusing specifically on her. The crowds at these events tend to be large so meeting her there might be difficult. However, it isn’t impossible! If you want to have a chance at meeting her, make sure you show up to these events early so you can get in.  For example, Selena Gomez may attend events put on by the Disney Channel even if that event is not described as a meet-and-greet contest. If she has been nominated for something, she may even show up at the Nick Choice Awards. You can check on whether or not she is a nominee by visiting the official award show website: http://www.nick.com/kids-choice-awards/