Just like other objects you can add, subtract, and multiply matrices and vectors. This video will show you how to do that, focusing on the differences between addition and subtraction, and multiplication.
- [Narrator] Just like other objects,…you can add, subtract, and multiply matrices and vectors.…In this movie, I will show you how to do that.…I'll focus on the differences between…addition and subtraction, and matrix multiplication.…To start, let's say that you want…to add two matrices together.…You can do that, as long at they are of the same dimension.…So you see here, I have a pair of two by three matrices,…one with the numbers one through six,…and the second that is composed of all the number one.…The result of adding those together…is that each element is incremented by one,…and you get the two by three matrix on the right…with two, three, four in the top row…and five, six, seven in the second row.…
Subtracting matrices requires, again,…matrices of the same dimensions,…and it works in an element-wise fashion…exactly as addition does.…So here I have my same two matrices,…except now when I subtract one from each element…of the original matrix,…I get the results on the end.…Zero, one, and two in the top row,…
Author
Curt Frye
Released
1/24/2017- List the steps necessary to see what your notebook will look like when printed.
- Recall why you would use the Basic Math Assistant in Mathematica when creating expressions.
- Name the keyword used in conjunction with the Sort function to sort in descending order.
- Explain how to create a matrix with two rows, three columns, and that has all elements assigned the value three.
- Explain how to generate a histogram of a list of data stored in a list that is guaranteed to only display up to the maximum value of the list.
- Recall the number of controls you can add to a Mathematica notebook using the Manipulate keyword.
Skill Level Intermediate
Duration
Views
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Introduction
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Welcome1m 14s
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1. Introducing Mathematica 11
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Get help in Mathematica3m 51s
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2. Surveying Basic Mathematica Commands
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Assign values to variables2m 38s
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Import and export data3m 25s
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3. Manipulating Lists
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Create a list2m 42s
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Refer to and edit list items5m 29s
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Add and delete list items4m 27s
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Sort and reorder lists4m 36s
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Select list items by rule4m 20s
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Delete duplicate list items2m 15s
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4. Analyzing Data Using Descriptive Statistics
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Identify data quartiles2m 40s
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5. Manipulating Matrices
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Define vectors and matrices4m 22s
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Generate useful matrices3m 28s
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Convert a matrix to a list2m 50s
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6. Managing Executable Mathematica Scripts
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Define a function3m 49s
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7.Visualizing and Formatting Data
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Create a bar chart5m 1s
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Create a scatter plot3m 23s
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Create a paired bar chart4m 16s
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Set chart options4m 12s
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Plot function output3m 7s
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8.Creating Interactive and Animated Visualizations
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Create a Wolfram Cloud app4m 29s
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Conclusion
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Additional resources1m 17s
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Video: Add, subtract, and multiply matrices