A 3x3 matrix has a characteristic polynomial of degree 3. If all the elements of the matrix are real, then the polynomial has up to 3 distinct complex roots. If one of these roots is complex (in particular, has a non-zero imaginary part), then a second root would be that first root's complex conjugate. Then the remaining root has to be real.
Answer:
2.3
Step-by-step explanation:
move the decimal to the right two times
Answer:
300
Step-by-step explanation:
Answer:
![a^4-16](https://tex.z-dn.net/?f=a%5E4-16)
![\left(a^2\right)^2-4^2](https://tex.z-dn.net/?f=%5Cleft%28a%5E2%5Cright%29%5E2-4%5E2)
![\left(a^2+4\right)\left(a^2-4\right)](https://tex.z-dn.net/?f=%5Cleft%28a%5E2%2B4%5Cright%29%5Cleft%28a%5E2-4%5Cright%29)
![=\left(a^2+4\right)\left(a+2\right)\left(a-2\right)](https://tex.z-dn.net/?f=%3D%5Cleft%28a%5E2%2B4%5Cright%29%5Cleft%28a%2B2%5Cright%29%5Cleft%28a-2%5Cright%29)
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