Matrices And Determinants Flashcards
1
Q
Condition for a matrix to be symmetric
A
A’= A; A’ is transpose of matrix A
2
Q
Condition for a matrix to be skew symmetric
A
A’=-A
3
Q
Trace of matrix is?
A
Sum of diagonal elements of a square matrix
4
Q
Orthogonal matrix is ?
A
AA’=I
; I = Identity matrix
5
Q
Idempotent matrix is ?
A
A^=A
6
Q
Involuntary matrix is ?
A
A^=I
7
Q
Nil potent matrix is ?
A
A^m=0
8
Q
Adjoint of a square matrix is ?
A
adj( A )= C’; C’= transpose of cofactor of matrix A
9
Q
Inverse of a square matrix is ?
A
A^-1= adj ( A) / |A|
; |A| = determinant of matrix A
10
Q
Condition for matrix to be non singular
A
|A| != 0
11
Q
Condition for a Matrix to be singular
A
|A|=0
