Tridiagonal matrices are the matrices which are having non-zero elements on the diagonal, super diagonal and subdiagonal. All the rest of the elements are zeros.
Example of an Idempotent Matrix
Example of Nilpotent Matrix
Note that matrix A is said to be Nilpotent if
where m is any integer and
is a null matrix of same order as of A.
Lets take example of matrix A which is nilpotent.
Example of an Involutory Matrix
Note that matrix A is said to be Involutory if
, where I is an Identity matrix of same order as of A.
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How to solve Linear Equations using Cramer’s Method ?
We can solve linear system of equations using Cramer’s rule which is one of the applications of determinants. We just need to find values of different determinants in order to solve system of equaltions. From the values of these determinants, we can know if the equations are consistent or inconsistent.
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