MATH-1428 Lecture Notes - Lecture 32: Square Number, Identity Matrix, Augmented Matrix
18 Mar 2017
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Provide a generalization to each of the key terms listed in this section. A, which is a square matrix, is the original matrix while a 1 is its matrix"s inverse. When you multiply a square matrix by its inverse, you can get 1, but would be an identity matrix, which is normally labeled i. On the other hand, only square matrices do have inverses whereas non-square matrices don"t have inverses while not all square matrices actually have an inverse. Invertible, or nonsingular, matrices are square matrices that do have an inverse. Noninvertible, or singular, matrices are square matrices that do not have an inverse. 3 (2) + ( 2) (3) ( 4) (3) + 3 (4) If a = (cid:18)a b d(cid:19), then its inverse is the following: c. A 1 = 1 det a (cid:18) d b a (cid:19) = 1 ad bc (cid:18) d b a (cid:19)
