invertible matrix theorem (imt) Flashcards
(10 cards)
1
Q
1
A
A is an invertible matrix
2
Q
2
A
A is row equivalent to the I sub n
3
Q
3
A
A has n PIVOT POINTS
4
Q
4
A
The equation Ax = 0 has only the trivial solution
5
Q
5
A
The columns of A form a linearly independent set
6
Q
6
A
The equation Ax = b has a unique solution for all b in R^n
7
Q
7
A
The columns of A span R^n
8
Q
8
A
There is an nxn matrix C such that CA = I(n)
9
Q
9
A
There is an nxn matrix D such that AD = I(n)
10
Q
10
A
A^T is an invertible matrix
