Μatrix Stuff Flashcards
1
Q
Finding inverse of 3 x 3 matrix
A
Find determinant Form matrix of minors Matrix of cofactors - change some signs Transpose Inverse is 1/det A x Transposed
2
Q
What is key about linear transformation?
A
Always maps origin onto itself
3
Q
When a transformation is a stretch in y and x, what are the invariant points and lines?
A
Origin is invariant point
X and y axes are invariant lines
4
Q
For a transformation represented by matrix M
What is det M?
A
Area scale factor
5
Q
When do the planes meet a point?
A
Consistent
One solution
Non singular matrix
6
Q
Sheaf
A
Consistent
Infinitely many solutions
7
Q
Prism
A
Inconsistent
No solutions
8
Q
Two or more parallel
A
Inconsistent
No solutions
9
Q
Same plane
A
Consistent
Infinitely many solutions
