2) Compute the determinants of the following 4×4 matrices as linear combinations of the determinants of some 3×3 matrices, i.e. "magic formula" for expanding a determinant by "minors": 3 1 4 5 6 2 3 4 5678 9 8 7 6 You see how the "magic formula" is computationally inefficient as the size of the matrix grows, whereas elementary matrices are very efficient!

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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2) Compute the determinants of the following 4×4 matrices as linear combinations
of the determinants of some 3×3 matrices, i.e. "magic formula" for expanding a
determinant by "minors":
3
1
4 5 6
2
34
5678
9876
You see how the "magic formula" is computationally inefficient as the size of the matrix
grows, whereas elementary matrices are very efficient!
Transcribed Image Text:2) Compute the determinants of the following 4×4 matrices as linear combinations of the determinants of some 3×3 matrices, i.e. "magic formula" for expanding a determinant by "minors": 3 1 4 5 6 2 34 5678 9876 You see how the "magic formula" is computationally inefficient as the size of the matrix grows, whereas elementary matrices are very efficient!
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