query: No. of positive eigen values of $3\times 3$ real matrix
positive_passages.docid: 146316
positive_passages.text: what is no. of positive eigen value of symmetric matrix A with some given relationship
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: 99600
negative_passages.text: Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0
negative_passages.docid: 18470
negative_passages.text: A practical way to check if a matrix is positive-definite
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 100627
negative_passages.text: for a $3 \times 3$ matrix A ,value of $ A^{50} $ is
negative_passages.docid: 7376
negative_passages.text: Find $\det(A^{2}+A^{T})$ when eigenvalues are $1,2,3$
negative_passages.docid: 5058
negative_passages.text: Eigenvalues of the rank one matrix $uv^T$
negative_passages.docid: 76477
negative_passages.text: Eigenvalues with transpose question.
negative_passages.docid: 48238
negative_passages.text: Prove the positive definiteness of Hilbert matrix
negative_passages.docid: 90964
negative_passages.text: Prove: symmetric positive definite matrix
negative_passages.docid: 70092
negative_passages.text: Determine the number of possible values for $\det(A)$, given that $A$ is an $n \times n$ matrix with real entries such that $A^3 - A^2 -3A +2I=0$.
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: 144145
negative_passages.text: Symmetric $3\times 3$ Matrices - Base matrix
negative_passages.docid: 7457
negative_passages.text: Prove that $J^+AJ$ has positive eigenvalues
negative_passages.docid: 81176
negative_passages.text: A normal matrix with real eigenvalues is Hermitian
negative_passages.docid: 85297
negative_passages.text: find a $3 \times 3$ matrix $A$ such that $A \neq I_3$ and $A^{197}=I_3$.