Q. 395.0( 3 Votes )

If |A| = 2, where

Answer :

We are given that,

Order of matrix A = 2 × 2


|A| = 2


We need to find the |adj A|.


Let us understand what adjoint of a matrix is.


Let A = [aij] be a square matrix of order n × n. Then, the adjoint of the matrix A is transpose of the cofactor of matrix A.


The relationship between adjoint of matrix and determinant of matrix is given as,


|adj A| = |A|n-1


Where, n = order of the matrix


Putting |A| = 2 in the above equation,


|adj A| = (2)n-1 …(i)


Here, order of matrix A = 2


, n = 2


Putting n = 2 in equation (i), we get


|adj A| = (2)2-1


|adj A| = (2)1


|adj A| = 2


Thus, the |adj A| is 2.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Using matrices, sMathematics - Board Papers

If <span lang="ENMathematics - Board Papers

Solve for <span lMathematics - Board Papers

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar