query: An orthogonal matrix in $\mathbb{R}^{3\times3}$ with real eigenvalues is diagonalizable
positive_passages.docid: 26801
positive_passages.text: Show that orthogonal matrices are diagonalizable
negative_passages.docid: 60005
negative_passages.text: Determining the Orbits/Orbit Space of $O(3)$ on Real 3 by 3 Traceless Symmetric Matrices
negative_passages.docid: 123679
negative_passages.text: General Information about Eigenvalues for an 3x3 symmetric matrix
negative_passages.docid: 34820
negative_passages.text: Transpose Operator is diagonalizable?
negative_passages.docid: 27778
negative_passages.text: Eigenvalues of a real skew symmetric matrix
negative_passages.docid: 35834
negative_passages.text: Is the product of any two invertible diagonalizable matrices diagonalizable?
negative_passages.docid: 13442
negative_passages.text: Find three real orthogonal matrices of order $3$ having all integer entries.
negative_passages.docid: 58339
negative_passages.text: The diagonalizable matrices are not dense in the square real matrices
negative_passages.docid: 78265
negative_passages.text: Diagonalizable matrix with parameters
negative_passages.docid: 33477
negative_passages.text: Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.
negative_passages.docid: 75215
negative_passages.text: Properties of invertible matrices
negative_passages.docid: 66092
negative_passages.text: Simultaneous diagonalization of commuting linear transformations
negative_passages.docid: 59477
negative_passages.text: Density of orthogonal matrices with rational coefficients
negative_passages.docid: 129743
negative_passages.text: $A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
negative_passages.docid: 4517
negative_passages.text: Showing a $2\times2$ matrix is invertible
negative_passages.docid: 80544
negative_passages.text: Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
negative_passages.docid: 125195
negative_passages.text: If matrix A is invertible, is it diagonalizable as well?