Finding inverse of 3 x 3 matrix
Find determinant Form matrix of minors Matrix of cofactors - change some signs Transpose Inverse is 1/det A x Transposed
What is key about linear transformation?
Always maps origin onto itself
When a transformation is a stretch in y and x, what are the invariant points and lines?
Origin is invariant point
X and y axes are invariant lines
For a transformation represented by matrix M
What is det M?
Area scale factor
When do the planes meet a point?
Consistent
One solution
Non singular matrix
Sheaf
Consistent
Infinitely many solutions
Prism
Inconsistent
No solutions
Two or more parallel
Inconsistent
No solutions
Same plane
Consistent
Infinitely many solutions