Invertible matrix Theorem Flashcards
1
Q
1.
A
A is an invertible matrix
2
Q
2.
A
A is row equivalent to the identity matrix
3
Q
3.
A
A has n pivots
4
Q
4.
A
The equation Ax=0 has only the trivial solution x=0
5
Q
5.
A
The columns of A are linearly independent
6
Q
6.
A
The linear transformation t: Rn to Rm is one-to-one
7
Q
7
A
The equation Ax=b has s least one solution for each b in Rn
8
Q
8.
A
The columns of A span Rn
9
Q
9.
A
The linear transformation T: Rn to Rm is onto
10
Q
10
A
There is a matrix C that CA = In
11
Q
11
A
There is a matrix D that AD=In
12
Q
12
A
A^T is invertible
