Weekly Math Problem! #14

Matrix Operations. Ahh...matrices. Just when you thought basic math operations couldn't get more complicated...enter numbers in block form. 😅🤦🏿‍♀️ In my years of doing mathematics, I see that every area of mathematics has practical applications. The truth is, most people won't learn math at the levels where such applications exist. Also for the people who do go on learn math at those levels where these applications exist, accompanying software is also learned. Doing that type of math by hand just isn't efficient. Linear Algebra has some cool applications but, before you can learn the math needed for such applications, you have to start with the basics.  

To solve this week's problem in completion, you need to recall the following math skills:

    ✔️  How to perform basic matrix operations

    

Here is WMP! #14...

Happy solving! 

Check back on Friday, August 7th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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In colored fashion, here's how the matrix calculations go:

Matrix multiplication is definitely tricky but, with a keen eye, a pattern can be seen. Yeah...don't have much to say this week; it's been a hectic one. In an upcoming WMP, I'll do a problem from the math journey I took this summer. 👀 Wondering what it is? You should stick around to find out. 😃

◾️ Have you ever done linear algebra or learned about matrix theory before?? 

◾️ If so, how long ago and what was your experience like?? 

◾️ Comment below with your responses and let me know what you thought about this week's problem.

Next up...WMP! #15 😏

Cheers!

The Younge Lady

Weekly Math Problem! #11

Conic Sections. Graphing is cool. I like pictures a lot; I'm very visual. Conic sections are cool. I just thought I'd throw this problem in the mix, so I could do some more graphing.  

To solve this week's problem in completion, you need to recall the following math skills:

    ✔️  Completing the square method

    ✔️  Factoring polynomials

    ✔️  Other algebra techniques 🤷🏿

    

I present to you WMP! #11...

Happy solving! 

Check back on Friday, July 17th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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I previously used the completing the square method in WMP! #7 which required me to solve a quadratic equation. Here's how the completing the square method looks for the curve from this week's problem:

L👀ks like we have a...🥁drum roll please🥁...HYPERBOLA! 🎉 Now that we know we have a HYPERBOLA, we can find the center, vertices, and asymptotes. I color coordinated the important information from the standard form with the components associated with a HYPERBOLA.

Here is the graph of the HYPERBOLA with the center, vertices, and asymptotes identified:

*This graph was generated on Geogebra.org.*

😄 I had fun with this one. 😄

◾️ Have you ever studied conic sections?? 

◾️ If so, what was your experience like?? 

◾️ Comment below with your responses and let me know what you thought about this week's problem.

See you next week for...WMP! #12 📚

Cheers!

The Younge Lady

Weekly Math Problem! #7

Solving A Quadratic Equation. This week's problem is related to WMP! #6. We're working with another quadratic equation, except this time we don't have to come up with it. So, no word problem here. What does happen sometimes, which can be highly annoying, is being forced to solve a problem using a specific method when you have other options that you'd prefer to use. You can definitely see this in textbook exercises across various types/levels of mathematics. Lots of professors do this. I am guilty as charged, myself. At least when I've done it, it wasn't to torture my students...I promise. 👀 It was really to expose them and push their abilities, so that they wouldn't be caught by surprise. 😁

To solve this week's problem in completion, you need to recall the following math skills:

    ✔️  How to solve rational equations

    ✔️  How to solve quadratic equations

    ✔️  Completing the square method

Ready? If not, here goes WMP! #7 anyway...

Happy solving! 

Check back on Friday, June 19th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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I don't really have much to say. So...without further ado, here's my solution:

Here is a graph of the quadratic with the solution (roots) identified:

*This graph was generated on Geogebra.org.*

◾️ How do you feel about this method for solving quadratics?? Love it? Hate it?

◾️ What's your go-to method for solving quadratic equations?? 

◾️ Comment below with your responses and let me know what you thought about this week's problem.

Up next...WMP! #8 😏

Cheers!

The Younge Lady