Adjugate matrix

by Charles007
Tags: adjugate, matrix
Charles007 is offline
Sep1-09, 07:53 PM
P: 24
I know how to find the adjugate of 3x3 matrix. from the defination.

How to find adjugate of 2x2 matrix.

e.g A= ( 1 3 )
______( 2 4 )

adjoint .

First . we find matrix of cofactor. from the defination. (n-1)(n-1) matrix * (sign associated with the element's position).

Second, we taking the transpose we get the adj(A)

Then we find the det(A).

Finally, A^-1 = 1/det(A) * adj(A)

The inverse of A.

[itex]AA^- = A^-A=I[/itex] and A adj(A) = det(A)I

The inverse of [itex]A = det(A)I/ A^-[/itex]
Phys.Org News Partner Science news on
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city

Register to reply

Related Discussions
Coding Covariance Matrix (differential Riccati matrix eqn) of the Kalman-Bucy Filter Engineering, Comp Sci, & Technology Homework 0
Prove that Hermitian/Skew Herm/Unitary Matrix is a Normal Matrix Calculus & Beyond Homework 2
Need help to proof Adjugate Matrix... Linear & Abstract Algebra 2
problem involving the adjugate Calculus & Beyond Homework 1
adjugate (classical adjoint) problem Introductory Physics Homework 0