You’re probably already aware that the special properties of a magic square have to do with the various ways of summing its elements. Why is it magic? sum, transpose, and diag Now that you have A in the workspace, take a look at what makes it so interesting. Once you have entered the matrix, it is automatically remembered in the MATLAB workspace. This exactly matches the numbers in the engraving. MATLAB displays the matrix you just entered. To enter Dürer’s matrix, simply type in the Command Window A = Surround the entire list of elements with square brackets.Use a semicolon,, to indicate the end of each row.Separate the elements of a row with blanks or commas.You have only to follow a few basic conventions: Start by entering Dürer’s matrix as a list of its elements. Create matrices with your own functions in M-files.Generate matrices using built-in functions.Load matrices from external data files.Start MATLAB and follow along with each example.You can enter matrices into MATLAB in several different ways: The best way for you to get started with MATLAB is to learn how to handle matrices. It does turn out to have some fascinating characteristics worth exploring. This matrix is known as a magic square and was believed by many in Dürer’s time to have genuinely magical properties. ![]() ![]() This image is filled with mathematical symbolism, and if you look carefully, you will see a matrix in the upper right corner. A good example matrix, used throughout this book, appears in the Renaissance engraving Melancholia I by the German artist and amateur mathematician Albrecht Dürer. Where other programming languages work with numbers one at a time, MATLAB allows you to work with entire matrices quickly and easily. ![]() The operations in MATLAB are designed to be as natural as possible. MATLAB has other ways of storing both numeric and nonnumeric data, but in the beginning, it is usually best to think of everything as a matrix. Special meaning is sometimes attached to 1-by-1 matrices, which are scalars, and to matrices with only one row or column, which are vectors. In MATLAB, a matrix is a rectangular array of numbers.
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