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The cofactor C.;; of the entry a¡¡ is given by (-1)³ + İM¡¡. Substitute this expression in the cofactor expansion. Cij 87-6 1 -2 0 7 0 6 7 8 5 0 6 -3 -6 = 87-6 1 -20 7 0 6 7 8 5 0 6 -3 -6 1M 21 |(−1)² + ¹M ₂1 = + + |(−1)² + 2M 22- 7 -6 1 (-1) 7 8 5 6 -3 -6 (−1)² + ³M 23 The minor M,; of the entry a¡;; is the determinant of the matrix obtained by deleting the ith row and jth column. Use this fact to write the minors in the expansion. Remember that an even power of -1 is ij 1 and an odd power of -1 is -1. + + 87 1 (-1) 6 7 5 06-6 (-1)² + AM 24

The cofactor C.;; of the entry a¡¡ is given by (-1)³ + İM¡¡. Substitute this expression in the cofactor expansion. Cij 87-6 1 -2 0 7 0 6 7 8 5 0 6 -3 -6 = 87-6 1 -20 7 0 6 7 8 5 0 6 -3 -6 1M 21 |(−1)² + ¹M ₂1 = + + |(−1)² + 2M 22- 7 -6 1 (-1) 7 8 5 6 -3 -6 (−1)² + ³M 23 The minor M,; of the entry a¡;; is the determinant of the matrix obtained by deleting the ith row and jth column. Use this fact to write the minors in the expansion. Remember that an even power of -1 is ij 1 and an odd power of -1 is -1. + + 87 1 (-1) 6 7 5 06-6 (-1)² + AM 24

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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The cofactor C.;; of the entry a¡¡ is given by (-1)³ + İM¡¡. Substitute this expression in the cofactor expansion. Cij 87-6 1 -2 0 7 0 6 7 8 5 0 6 -3 -6 = 87-6 1 -20 7 0 6 7 8 5 0 6 -3 -6 1M 21 |(−1)² + ¹M ₂1 = + + |(−1)² + 2M 22- 7 -6 1 (-1) 7 8 5 6 -3 -6 (−1)² + ³M 23 The minor M,; of the entry a¡;; is the determinant of the matrix obtained by deleting the ith row and jth column. Use this fact to write the minors in the expansion. Remember that an even power of -1 is ij 1 and an odd power of -1 is -1. + + 87 1 (-1) 6 7 5 06-6 (-1)² + AM 24
Transcribed Image Text:The cofactor C.;; of the entry a¡¡ is given by (-1)³ + İM¡¡. Substitute this expression in the cofactor expansion. Cij 87-6 1 -2 0 7 0 6 7 8 5 0 6 -3 -6 = 87-6 1 -20 7 0 6 7 8 5 0 6 -3 -6 1M 21 |(−1)² + ¹M ₂1 = + + |(−1)² + 2M 22- 7 -6 1 (-1) 7 8 5 6 -3 -6 (−1)² + ³M 23 The minor M,; of the entry a¡;; is the determinant of the matrix obtained by deleting the ith row and jth column. Use this fact to write the minors in the expansion. Remember that an even power of -1 is ij 1 and an odd power of -1 is -1. + + 87 1 (-1) 6 7 5 06-6 (-1)² + AM 24
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