query: Finding the inverse of linear transformations in $\mathbb{R}^3$
positive_passages.docid: 20856
positive_passages.text: Inverse of Linear Transformations
negative_passages.docid: 106033
negative_passages.text: Solve the system in $\mathbb{R}$
negative_passages.docid: 76510
negative_passages.text: vector identity for triple scalar product
negative_passages.docid: 59055
negative_passages.text: Diagonalizable transformation restricted to an invariant subspace is diagonalizable
negative_passages.docid: 78648
negative_passages.text: Find an orthonormal basis for the subspace of $\mathbb R^4$
negative_passages.docid: 4917
negative_passages.text: Inverse of this $3\times 3$ matrix using the Cayley–Hamilton theorem
negative_passages.docid: 52587
negative_passages.text: Real analysis : Problem related to inverse
negative_passages.docid: 34489
negative_passages.text: Matrix representation of linear transformation
negative_passages.docid: 143051
negative_passages.text: Inverting noninvertible elements in a bigger ring.
negative_passages.docid: 109217
negative_passages.text: Invertibility of the Product of Two Matrices
negative_passages.docid: 119301
negative_passages.text: Is the following matrix invertible?
negative_passages.docid: 123006
negative_passages.text: Elliptic Coordinates - Inverting the transformation
negative_passages.docid: 117986
negative_passages.text: Are there linear transformations from vector spaces over different fields?
negative_passages.docid: 24441
negative_passages.text: Inverse of a matrix is expressible as a polynomial?
negative_passages.docid: 118025
negative_passages.text: Kernel of composition of linear transformations
negative_passages.docid: 6324
negative_passages.text: Deriving the inverse of a 2x2 matrix
negative_passages.docid: 2064
negative_passages.text: Finite subgroups of orthogonal transformations in $\mathbb{R}^3$