
stage 5 mathematics 5 - St Mark`s Catholic College
... arguments using similarity tests for triangles. ...
... arguments using similarity tests for triangles. ...
Math 4707: Introduction to Combinatorics and Graph Theory
... Definition. The vector (i.e. n-by-1 matrix) v is an eigenvector of M with eigenvalue λ if the equation Mv = λv is satisfied. That is, multiplying the column vector v by M is equivalent to rescaling each entry of v by the same coefficient, λ. Theorem. If an n-by-n matrix M is symmetric and has only r ...
... Definition. The vector (i.e. n-by-1 matrix) v is an eigenvector of M with eigenvalue λ if the equation Mv = λv is satisfied. That is, multiplying the column vector v by M is equivalent to rescaling each entry of v by the same coefficient, λ. Theorem. If an n-by-n matrix M is symmetric and has only r ...
Algebra Notes
... ⇒: If (x, y) is a constructible point, draw the lines through it that are parallel to the x and y axes. These lines will intersect the axes at the points (x, 0) and (0, y), which are at distance |x| and |y| to the origin, respectively. ⇐: If x and y are constructible, then drawing circles of radius ...
... ⇒: If (x, y) is a constructible point, draw the lines through it that are parallel to the x and y axes. These lines will intersect the axes at the points (x, 0) and (0, y), which are at distance |x| and |y| to the origin, respectively. ⇐: If x and y are constructible, then drawing circles of radius ...