Find Matrix Eigenvalues ...
`[[2,3],[4,10]]`

Solution:
`|A-lamdaI|=0`

`(2-lamda)`   `3`   `4`   `(10-lamda)`

= 0

`:.(2-lamda) × (10-lamda) - 3 × 4=0`

`:.(20-12lamda+lamda^2)-12=0`

`:.(lamda^2-12lamda+8)=0`

`:.(lamda-0.7085)(lamda-11.2915)=0`

`:.(lamda-0.7085)=0 or (lamda-11.2915)=0`

`:.lamda=0.7085 or lamda=11.2915`

`:.` The eigenvalues of the matrix `A` are given by `lamda=0.7085,11.2915`

---

---