What you're looking for is not called the "characteristics equation", but the characteristic polynomial.
More test cases, please. ;-)
Figurate number triangle
Count up then down
Vectors counting by 2
Sum the squares of numbers from 1 to n
Convert given decimal number to binary number.
Append two matrix as shown below example
Find out total non zero element of matrix
Find out sum of prime number till given number
find out eigenvector of matrix
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