Flashcards in Matrices 1 Deck (10)

Loading flashcards...

1

## when does a sqaure matrix have an inverse?

### if the determinant of that matrix is non zero

2

## how is the inverse of a matrix defined?

### A^-1*A=I, where I is the identity matrix

3

## what is the transpose of a matrix?

### matrix where rows are columns of the original

4

## what is a matrix if its transpose is equal to the original?

### symmetric and sqaure

5

## what is an eigenvalue and eigenvector?

### an eigenvector v and a eigenvector lambda obeys the eqn Av=lambda*v

6

## how do you find the eigenvalues?

### det(A-lambda*I)=0

7

## properties of eigenvalues

###
eigenvalues of A inverse are the inverse of the eigenvalues of A

eigenvalues of A^2 are the square of the eigenvalues of A

eigenvalues of A and A transpose are the same, but not the same eigenvectors

8

## what is the trace of a matrix?

### refers to the sum of the diagonal entries of that matrix

9

## how to check if eigenvalues are correct?

### compare the sum to the trace, should be equal

10