This post is dedicated to some important properties regarding adjoint of matrix. If, you want to go through their proves then click particular property. Note that these properties are only valid for square matrices as adjoint is only valid for square matrices.
where, A is a square matrix, I is an identity matrix of same order as of A and
represents determinant of matrix A.
determinant of adjoint A is equal to determinant of A power n-1 where A is invertible n x n square matrix.
{A is n x n invertible square matrix}
You can also take examples to verify these properties.
NIRAJ says
What is det(adj(adj(A)))
Sushant says
(detA)pow (n-1)square
TEJAS says
|adj(adj A)|
Varsha says
|A| to the power (n-1)whole to the power
2
Bavah says
Determinant of A raise to the power whole square of n-1
KARMUGILAN says
Determinant A power (n-1)^2
Himanshu Rauthan says
(DetA) raised to the power ( n-1) square
Abhinav says
Its |A|^(n-1)²
A says
|adj(adjA)|=|A|^(n-1)^2
Anush choudhary says
Det(A)pow(n-1)suare
Lusi says
Det (A) power (n-1) ^2
syed says
What is n in 2nd property??
Shruthi Mohan says
n is the dimension of the square matrix i.e. it is the no of rows/no of columns in a square matrix
Sanjay KC says
Why not adj(kA)=k×adj(A)
Suraj Badve says
x = n-1
Karthii says
Det of A power n-1
Mary says
When adj(a)=a. ?
Jai says
Thank you for the info
Nonamedeo says
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