Core Pure Further Math

Reflection in the y-axis

Reflection in the x-axis

Reflection in the line y=x

reflection in the line y=-x

The area scale factor of the transformation of matrix M.

Det M

The matrix ___ represents the transformation B followed by the transformation A

AB

Reflection in the plane x=0

Rotation by theta degrees anticlockwise about the y-plane

Interpreting systems of equations geometrically

• A system of linear equations is consistent if there is at least one set of values that satisfies all the equations simultaneously. Otherwise, it is inconsistent.

• If two of the equations can be manipulated to form the third one, the planes meet at a ______

• If the determinant is 0 and one equation of a multiple of another, they are ________ or the same

• lineB ut if the determinant is 0 and one equation formed by the equations contradicts another one, they are inconsistent and form a ______.

sheaf, parallel, prism

Rotation by theta degrees anticlockwise