Math Problem Statement
Find the eigenvalues and corresponding vectors of the following matrix, and diagonalise if possible. Find the matrix which diagonolise it. A= 1 -1 2 2 -2 4 3 -3 6
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Eigenvalues and Eigenvectors
Matrix Diagonalization
Formulas
Characteristic equation: det(A - λI) = 0
Eigenvalue equation: (A - λI)v = 0
Theorems
Eigenvalue theorem
Diagonalization theorem
Suitable Grade Level
Undergraduate Mathematics or Advanced High School (Grades 11-12)
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