Use row operations (Gaussian elimination) to solve the following: 13, 15, 17, 19
- I KNOW THIS IS HARD! The only way to get better at this is to PRACTICE, so it's incredibly important you put a strong effort into your homework! (And check your answers!)
- YES, this will be on a quiz next week, and it will be on our unit test before winter break! So don't just try to avoid these!
- Don't give up! Remember, you're trying to get to row echelon form...so....
- First, try to use the row operations to get an equation with an leading x-coefficient of 1! Then write this as your first equation!
- After you can get an equation with an x-coefficient of 1, now try to get an equation with no x term and a y-coefficient of 1! We want this as our middle term!
- Finally, try to use your row operations to get an equation with no x and no y term, and only a z! This is our third (bottom) equation!
- Now, solve with back substitution!
- Remember to show the math, but also describe your row operations in words!
- If you want more help...
- Open the PDF textbook and look in section 7.3--you will find the examples we did in class with explanations!
- Or, google (or search in Khan) "Gaussian elimination" or "row operations" and find a video to watch to help!
- If you find a good one send it to me so I can share it with the class!
- If you want more practice...
- Try any of the odd problems from 13-37 and check your answers!
The most important thing is that you DON'T GIVE UP! Remember, there isn't a step-by-step process that will work every time! We have to come up with ideas and try them--if they fail, try something else!
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