I have been trying to find the inverse matrix of the following matrix (mod 19)

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I used gauss-jordan elimination method (i.e. augment A with identity matrix, and reduce the left matrix to an identity matrix) and its very tedious. Everytime i change an element, another element of the same row gets affected then i have to go back and redo all over.

Is there an efficent way to do this? Thanks in advance for your help.