Inverse Of A Matrix - Edubirdie

University:
California State University, Northridge
Course:
MATH 150B | Calculus II
Academic year:

2023
Views:

457

Pages:

1
Author:

Andrew M.

Invesse of a Mabix 1) (dentity matrix ALA No I is a joj identity matrik 2) Liven A (mxr) the matix B (nam) is fur A if AB Im right-inverse 3) Given a (man), the matix C (mxn) is a for A CA- In left-inverse 4) Theaem: If A (xn), has both left-inverse C. then C = B A righe inver e B and Proof: We have Thur AB. Im and CA S C(A6) CC C (AB) (CA)B IB=BC (nxm) B (man) Note: - This matrix is unique (suppose there is another left- Inverse D, then DB by the theorem, so A has both a square matrix. D=C) a right and a left inverse, it is It is usually called invertible.

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