Mathematics · Linear Algebra
Find the characteristic equation of the matrix A = ⌈1 -2 4⌉ ⌊0 1 2⌋ ⌊2 0 3⌋ using the Cayley-Hamilton theorem.
- 1A3 + 3A2 + 9A + 3I = 0
- 2A3 - 5A2 - A + 13I = 0✓
- 3A3 - 3A2 - 9A - 3I = 0
- 4A3 - 5A2 - A - 13I = 0
Correct answer
A3 - 5A2 - A + 13I = 0
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