Let `B` is adjoint of matrix `A` , having order `3` and `B^(T)B^(1)=A` (where `B` is non singular) then `(tr(A+B))/(4)` is (where `tr(A)` is sum of diagonal elements of matrix `A`)

|A^(-1)|!=|A+^(-1) , where A is a non singular matrix.

"If "B" is adjoint of matrix "A" and "B^(TT)B^(-1)=A" then "(" where "B" is non singular matrix)" (a) "B" is symmetric matrix (b) det."(B)=1 (c) "A" is skew symmetric matrix (d) "adj.B=A

[" If "B" is adjoint of matrix "A" and "B^(TT)B^(-1)=A" then "(" where "B" is non singular matrix) "],[[" (a) "B" is symmetric matrix "," (b) det."(B)=1],[" (c) "A" is skew symmetric matrix "," (d) "adj.B=A]]

Let Z=[(1,1,3),(5,1,2),(3,1,0)] and P=[(1,0,2),(2,1,0),(3,0,1)] . If Z=PQ^(-1) , where Q is a square matrix of order 3, then the value of Tr((adjQ)P) is equal to (where Tr(A) represents the trace of a matrix A i.e. the sum of all the diagonal elements of the matrix A and adjB represents the adjoint matrix of matrix B)

Let A be a 2xx2 matrix with non zero entries and let A^(2)=I , where I is 2xx2 identity matrix. Define Tr(A)= sum of diagonal elemets of A and |A|= determinant of matrix A. Statement 1: Tr(A)=0 Statement 2: |A|=1 .

Let A=[(1,0,3),(0,b,5),(-(1)/(3),0,c)] , where a, b, c are positive integers. If tr(A)=7 , then the greatest value of |A| is (where tr (A) denotes the trace of matric A i.e. the sum of principal diagonal elements of matrix A)

Let A be a 2xx2 matrix with non-zero entries and let A^(^^)2=I, where i is a 2xx2 identity matrix,Tr(A)i=sum of diagonal elements of A and |A|= determinant of matrix A.Statement 1:Tr(A)=0 Statement 2:|A|=1

Let psi_(A) be defined as trace of a matrix which is sum of diagonal elements of a square matrix.psi_(lambda A+mu B)=

Elements of a matrix A of order 10x10 are defined as a_(ij)=omega^(i+j) (where omega is cube root unity),then tr(A) of matrix is