`" For the matrix A and identity matrix "I," if "AB=BA=I" then that matrix "B" is inverse matrix and "A" is invertible "A^-1=`

For the matrix A and identity matrix I if AB=BA=I then that matrix B is inverse matrix and A is invertible (AB)^(-1)=

Scalar matrix and identity matrix

The matrix having the same matrix as its inverse

Adjoint OF a matrix || Inverse OF a matrix

" 1.If "B" is an idempotent matrix and "A=I-B" then "AB=

If A is an invertible matrix and B is a matrix, then

" If matrix "A" and "B" are such that "AB=BA" and "A+B=1" ,then the matrix "A^(3)+B^(3)" is equal to "

Multiplication of a matrix A with identity matrix

" For a given square matrix "A" ,if there exists a matrix "B" such that "AB=BA= I "then "B" is called inverse of "A" Every non - singular square matrix possesses inverse and it exists if" |A|!=0,A^(-1)=(adj(A))/(det(A))rArr adjA=|A|(A^(-1))"Let a matrix "quad A=[[2,3],[1,2]]" then" A^(-1)" will be "

A is a square matrix and I is an identity matrix of the same order. If A^(3)=O , then inverse of matrix (I-A) is