Скачать или смотреть IIT JAM 2025 Linear Algebra Q16 || Solve Matrix Eigenvalues & Invertibility Step-by-Step!

IIT JAM 2025 Linear Algebra Q16 || Solve Matrix Eigenvalues & Invertibility Step-by-Step! #iitjam

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Join us in this detailed walkthrough of IIT JAM 2025 Linear Algebra Question 16! In this video, we tackle a challenging problem involving a 3x3 matrix \( M = \begin{bmatrix} -2 & 0 & 0 \\ 3 & 2 & 3 \\ 4 & -1 & x \end{bmatrix} \) with given eigenvalues -2 and 3, and the condition \( M^3 \begin{bmatrix} 0 \\ 1 \\ 1 \end{bmatrix} = \begin{bmatrix} 0 \\ 125 \\ 125 \end{bmatrix} \). We'll determine the value of \( x \) and check the invertibility of \( M^2 + M \). Perfect for IIT JAM aspirants and math enthusiasts!

🔑 Key Topics Covered:
Finding eigenvalues of a matrix
Using matrix powers and eigenvectors
Determining matrix invertibility
Step-by-step problem-solving techniques

📚 Resources:
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#IITJAM2025 #LinearAlgebra #MatrixEigenvalues #MathTutorial #IITJAMPreparation #MatrixInvertibility #MathForCompetitiveExams #EngineeringMath #IITJAMMath

IIT JAM 2025
Linear Algebra
Matrix Eigenvalues
Matrix Invertibility
IIT JAM Preparation
Math Tutorial
Engineering Mathematics
IIT JAM Linear Algebra
Matrix Problem Solving
Competitive Exam Math