290/1000 | Diagonalization Matrix: Theory, Properties, and Examples | Linear Algebra Tutorial

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In this Video, we will learn: 00:00 Diagonalization Matrix 00:25 Possible types of Questions in Diagonalization Matrix 01:37 Definition of Diagonalization Matrix 01:47 Definition of Diagonal Matrix 02:25 Property of Similar Matrices 03:06 Formula of Diagonalization Matrix 03:33 Question 1 - Find Diagonalizing Matrix or Modal Matrix 03:43 Definition of Modal Matrix 04:19 Finding Eigen Values for Diagonalization Matrix 07:50 Eigen Vectors corresponding to the Eigen Value -1 10:34 What is the importance of linearly independent solution in Eigen Vectors 13:30 Eigen Vectors corresponding to the Eigen Value 3 17:10 How to find Modal Matrix or Diagonalization Matrix 17:35 What is the meaning of Invertible Matrix 18:56 Question 2- Find the Diagonal Form in Diagonalization Matrix 20:53 Question 3- Show that the Matrix A is Diagonalizable