14111cn2.14 - of a matrix on the calculator along with...

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c Kendra Kilmer August 18, 2011 Section 2.6 - The Inverse of a Square Matrix Definition: Let A be a square matrix of size n . A square matrix A - 1 of size n such that is called the inverse of A . Example 1: Show that the matrix A = 1 2 3 4 has as its inverse A - 1 = - 2 1 3 / 2 - 1 / 2 Definition: Every square matrix does not have an inverse. We say that a matrix is singular if it does not have an inverse. If it does have an inverse, we say that it is nonsingular . You are not responsible for calculating inverses by hand. In the next example, I will show you how to find the inverse
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Unformatted text preview: of a matrix on the calculator along with matrix multiplication. Example 2: Given A = 1 2 5-2 4 1 1 3 2 B = 1-3 0 5 1-2 8 3 Compute: a) AB b) A-1 Example 3: Find a , b , and c in the following matrix equation. ±-32 56 3 a ²-4 ± 4 / 11 1 / 11-3 / 11 2 / 11 ²-1 = ± 3-7 2 b + 7-2 3 1 ² 4 c-1 3 5 2-4 14...
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