Similar matrices have the same characteristic polynomial
This proof is supposed to be easy but it may stun students who have not familiarized themselves with possible manipulations that may be used for such linear algebra questions.
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Eigenvalues and Eigenvectors
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Similar Matrices
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LU Decomposition Is Just Gaussian Elimination in Disguise
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Determinant of a matrix of polynomials
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Cramer's rule vs Gauss-Jordan Elimination
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How to determine the Rank of a matrix | step-by-step
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Similarity of matrices & Diagonalization - Linear Algebra II
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69 - The Cayley-Hamilton theorem
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Similar Matrices and Similarity Invariants | Linear Algebra
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L U = P A -Matrix Decomposition/Factoring
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3 x 3 eigenvalues and eigenvectors
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Why Aliens Would NEVER Invade Africa
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Inconsistent system of equation
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Diagonalizing Matrices and Diagonalizability | Linear Algebra
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From Child Prodigy to Winning Fields Medal, Nobel of Math
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Similar matrices have similar properties
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The rank of a matrix
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4. Factorization into A = LU
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Inverse of a 2x2 matrix from first principles
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