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MAT 1302 Lecture Notes - Lecture 21: Diagonalizable Matrix, Linear Combination, Invertible Matrix
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coppermammoth469
20 Mar 2019
School
University of Ottawa
Department
Mathematics
Course
MAT 1302
Professor
Aaron Tikuisis
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MAT 1302 Lecture Notes - Lecture 19: Linear Map, Triangular Matrix
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MAT 1302 Lecture Notes - Lecture 21: Diagonalizable Matrix, Linear Combination, Invertible Matrix
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MAT 1302 Lecture Notes - Lecture 23: Dynamical System, Probability Vector, Free Variables And Bound Variables
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Related Questions
For the given matrix, calculate The characteristic polynomial of A. The eigenvalues of A. A basis for each eigenspace of A the algebraic and geometric multiplicity of each value
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For the given matrix, calculate The characteristic polynomial of A. The eigenvalues of A. A basis for each eigenspace of A the algebraic and geometric multiplicity of each value
Let A = Find the eigenvalues of A. Determine the algebraic multiplicity of each eigenvalue of A. Determine the geometric multiplicity of each eigenvalue of A by writing a basis for its eigenspace. Give a matrix P and a diagonal matrix D such that P-1AP = D.
Question 2: 20 Marks Consider the matrix 1 0 1 0 0 1 0 0 10 1 0 0 1 0 0 1 (2.1) Determine the characteristic equation for A in λ. (2.2) Find the eigenvalues of A, and their algebraic multiplicities (2.3) Find a basis for the eigenspace corresponding to each eigenvalue of A and hence also (12) the geometric multiplicity of each eigenvalue