Learn WolfRam Mathematica : How to Use Vectors and Matrices in Mathematica
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If you wish to learn through course, then check out Programming in Mathematica course on Udemy. There are very few good courses out there. So the linked here is one good course to save your time and money.
I recommend checking out Wolfram Mathematica Language book. You can get a lot of answers to your Wolfram programming questions. Plus the new edition of the book written by the owner of Wolfram can cover some of the latest topics too.
How to Use Vectors and Matrices in Mathematica Examples
Here is one way you can create the matrix.
m = {{a, b}, {c, d}}
You can also learn to create the two component vector.
v = {x, y}
Check out the video for How to Use Vectors and Matrices in Mathematica.
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