Let A be a nonsingular matrix. Show that A^-1 is also nonsingular and (A^-1)^-1=A

Name: Let A be a nonsingular matrix. Show that A^-1 is also nonsingular and (A^-1)^-1=A
Uploaded: 2023-09-12T10:09:12-08:00
Duration: 5 min 3 s
Channel: Supreeta N
Description: Let A be a nonsingular matrix. Show that A^-1 is also nonsingular and (A^-1)^-1=A

Question

Arjun Singh · Accepted Answer

1. We know that $A$ is nonsingular, which means it has an inverse, denoted by $A^{-1}$. By defin

Question

Let $A$ be a nonsingular matrix. Show that $A^{-1}$ is also nonsingular and $\left(A^{-1}\right)^{-1}=A$

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