query: If $A = u*u^T$ where $0 \neq u \in \mathbb{R}^n$ , then find the eigenvalues of $A$ and show that $A$ is diagonalizable.
positive_passages.docid: 144097
positive_passages.text: eigenvalues and eigenvectors of $vv^T$
negative_passages.docid: 59973
negative_passages.text: Eigenvalues and power of a matrix
negative_passages.docid: 151088
negative_passages.text: Finding Matrix A from Eigenvalues and Eigenvectors (Diagonalization)
negative_passages.docid: 117293
negative_passages.text: sufficient and necessary conditions for matrix to be diagonalize or triangular
negative_passages.docid: 132366
negative_passages.text: Diagonalizability of $A \in M_{n}(\Bbb{R})$ (Upper traingular matrix) with all diagonal entries 1 and $A \neq I$?
negative_passages.docid: 80022
negative_passages.text: Eigenvector of A by $A^2$
negative_passages.docid: 54099
negative_passages.text: What are the eigenvalues of $\operatorname{ad}x$?
negative_passages.docid: 18282
negative_passages.text: Finding the minimal polynomial, the eigenvalues, and the characteristic polynomial of $T(A)=A+A^t$
negative_passages.docid: 72541
negative_passages.text: Is the matrix diagonalizable for all values of t?
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: 129977
negative_passages.text: Prove that $\lambda_1^2$, $\lambda_1\lambda_2$ and $\lambda_2^2$ are eigenvalues of matrix $A$
negative_passages.docid: 56083
negative_passages.text: Find the eigenvalues of a projection operator
negative_passages.docid: 124942
negative_passages.text: Prove that an upper triangular matrix is invertible if and only if every diagonal entry is non-zero.
negative_passages.docid: 115467
negative_passages.text: Eigenvalues of Householder matrix
negative_passages.docid: 86940
negative_passages.text: Proving an inequality in Eigenvalues of a matrix
negative_passages.docid: 52208
negative_passages.text: Show that a matrix $A$ is singular if and only if $0$ is an eigenvalue.
negative_passages.docid: 53863
negative_passages.text: Making a non-diagonalizable matrix diagonalizable with an small perturbations