Find Eigenvalues of A³ + 5A + 8I | Engineering Mathematics 4 | Sem 4 PYQ May 2024 Mumbai University

In this video, I have solved a previous year question (PYQ) from Engineering Mathematics 4 – Semester 4 (Mumbai University).

📌 **Question:*
if A=[-2 2 -3
2 1 -6
-1 -2 0 ]
Find the eigenvalues of 4A⁻¹ + A³ + I

In this lecture, I explain the step-by-step concept of eigenvalues and show the shortcut method used in university exams to find the characteristic roots of matrix expressions like A³ + 5A + 8I

This question is very important for students from:

🎓 **Mumbai University**
Branches: Information Technology (IT), Computer Engineering (COMPS), EXTC, Mechanical, Civil, etc.
Subject: Engineering Mathematics IV (Sem 4)

📚 **Topics Covered**

* Eigenvalues concept
* Characteristic equation of a matrix
* Shortcut for matrix powers (A^n)
* Finding characteristic roots of A³ + 5A + 8I
* Mumbai University exam solving technique

If you are preparing for Engineering Mathematics 4 semester exams, this video will help you solve similar questions quickly.

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Видео Find Eigenvalues of A³ + 5A + 8I | Engineering Mathematics 4 | Sem 4 PYQ May 2024 Mumbai University канала MATHS WALLAH SURAJ MAHTO