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

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
ChapterA: Appendix A Binomial Expansions
Section: Chapter Questions
Problem 32PE
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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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