4.5 Inverse of a Square Matrix Flashcards
1
Q
Definition of an Identity Matrix
A
2
Q
In general, we can show that if M is a square matrix of order n and I is the iden-tity matrix of order n, then
A
3
Q
What is an additive inverse
A
If r is an arbitary real number, then its additive inverse is the solution x to the equa-tion r +x =0.
So the additive inverse of 3 is -3, and the additive inverse of -7
is7.
Similarly, if M is an arbitary m*n matrix, then M has an additive inverse -M,
whose elements are just the additive inverses of the elements of M
4
Q
What is a multiplicative inverse?
A
5
Q
Definition: Inverse of a square matrix
A
6
Q
Theorem 1: Inverse of a square matrix
A
