Adjoint of Matrices

Adjoint Of A Matrix|Theorem 1|Singular And Non - Singular Matrices|Theorem 2|Exercise Questions|OMR

Adjoint Of Matrix|Questions Based On Adjoint And Inverse

Minors and Cofactors |Adjoint of a matrix|Properties of adjoint |Previous year questions |Inverse of a Matrix |Solution of system of linear equations

Cofactors|Examples|Adjoint Of Matrix|Examples|Important Theorems|OMR|Summary

Adjoint of square matrices and their properties

If A, B are two non - singular matrices of order 3 and I is an identity matrix of order 3 such that "AA"^(T)=5I and 3A^(-)=2A^(T)-Aadj(4B) , then |B|^(2) is equal to (where A^(T) and adj(A) denote transpose and adjoint matrices of the matrix A respectively )

Let A&B are two non singular matrices of order 3 such that A+B=I & A^(-1)+B^(-1)=2I then |adj(4AB)| ,is (where adj(A) is adjoint of matrix A)

Which of the following is/are incorrect? (i).Adjoint of symmetric matrix is symmetric (ii).Adjoint of unit matrix is a unit matrix (iii). A(adjA)=(adjA)A=!|A|I (iv). Adjoint of a diagonal matrix is a diagonal matrix

Find the adjoint of matrix A=[a_(ij)]=[pqrs]

The adjoint of matrix [(3,2),(-1,4)] is :