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.
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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.
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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We can check if the given number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 or 11 through divisibility tests. Each test is easy to perform on a given number except divisibility test of 7 which is harder as comparing to others. Go through the files and learn different divisibility tests. They can really help you in doing different calculations quickly.
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.
There are many applications of matrices and determinants. One of the application is to find area of triangle if we are given with vertices of triangle.