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        "name": "22_1 Basic Concepts of Eigenvalues and Eigenvectors",
        "intro": "<p>From an applications viewpoint, eigenvalue problems are probably the most important problems that arise in connection with matrix analysis. In this Section we discuss the basic concepts.&nbsp;<\/p><p>We shall see that eigenvalues and eigenvectors are associated with square matrices of order <span class=\"math inline\">\\(n\\times n\\)<\/span>. If <span class=\"math inline\">\\(n\\)<\/span> is small (\\(2\\) or \\(3\\)), determining eigenvalues is a fairly straightforward process (requiring the solution of a low order polynomial equation). Obtaining eigenvectors is a little strange initially and it will help if you complete this preliminary quiz first.<\/p>",
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