# Linear-transformation Sentence Examples

The present article is merely concerned with algebraical

**linear transformation**.A theory of matrices has been constructed by Cayley in connexion particularly with the theory of

**linear transformation**.The adjoint determinant will be seen subsequently to present itself in the theory of linear equations and in the theory of

**linear transformation**.The invariants in question are invariants qud

**linear transformation**of the forms themselves as well as qud**linear transformation**of the variables.The

**linear transformation**replaces points on lines through the origin by corresponding points on projectively corresponding lines through the origin; it therefore replaces a pencil of lines by another pencil, which corresponds projectively, and harmonic and other properties of pencils which are unaltered by**linear transformation**we may expect to find indicated in the invariant system.To choose a basis with respect to which the matrix of a

**linear transformation**has a particularly manageable form.Then there is a

**linear transformation**A which takes x to y and u j to v j.