Inverse-matrix verification test
ID: inverse-matrix-verification-test
A claimed inverse matrix C for a finite square matrix A must satisfy . A single product entry differing from the identity matrix disproves the claim. Conversely, in finite dimension one exact identity such as already implies that A has full rank, so A is invertible and ; the other product then equals I as well. Checking the product is useful before using a supplied inverse in a similarity transformation.
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