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# FP4 - Matrix transformations watch

1. If there are infinitely many invariant lines with equations y=x+c and the determinant of the transformation matrix is 5, does the matrix represent a stretch by scale factor 5 perpendicular or parallel to y=x?
Is it perpendicular or parallel and why?
2. (Original post by Ano123)
If there are infinitely many invariant lines with equations y=x+c and the determinant of the transformation matrix is 5, does the matrix represent a stretch by scale factor 5 perpendicular or parallel to y=x?
Is it perpendicular or parallel and why?
For a stretch there will be one invariant line perpendicular to the stretch. Any line parallel to the stretch will be invariant.

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