query: Jordan canonical form of 2X2 matrix
positive_passages.docid: 145980
positive_passages.text: For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
negative_passages.docid: 98298
negative_passages.text: Prove that bilinear form can be presented as product of linear forms if and only if it has rank one
negative_passages.docid: 55062
negative_passages.text: $2\times 2$ matrix $C=AB-BA$
negative_passages.docid: 39334
negative_passages.text: Non-degenerate bilinear forms and invertible matrices
negative_passages.docid: 86875
negative_passages.text: Finding the null space of symmetric matrix generated by outer product
negative_passages.docid: 130016
negative_passages.text: How to decompose a unitary transform into two-level unitary matrices?
negative_passages.docid: 153961
negative_passages.text: Determinant of $2 \times 2$ block matrix with commuting blocks
negative_passages.docid: 27767
negative_passages.text: Are two matrices similar iff they have the same Jordan Canonical form?
negative_passages.docid: 114172
negative_passages.text: Derivation of Hamilton-Jacobi theory using canonical transformations
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 65305
negative_passages.text: Minimal polynomial for an invertible matrix and its determinant
negative_passages.docid: 139201
negative_passages.text: Finding Jordan basis of a matrix $(4\times 4)$
negative_passages.docid: 47301
negative_passages.text: Hermitian Matrix
negative_passages.docid: 3795
negative_passages.text: Repeated Iteration of a 2x2 matrix
negative_passages.docid: 63118
negative_passages.text: Finding the closed form of the determinant of the Hilbert matrix
negative_passages.docid: 108012
negative_passages.text: A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
negative_passages.docid: 77587
negative_passages.text: Cross product: matrix transformation identity