In this page characteristic vector worksheet we are going to see some
practice questions that how to find characteristic vector of the matrix.

Definition :

The
eigen vector can be obtained from (A-
λI)X = 0. Here A is the given matrix λ is a scalar,I is the unit
matrix and X is the columns matrix formed by the variables a,b and c.

Another name of characteristic Vector:

Characteristic vector are also known as latent vectors or Eigen vectors of a matrix.

Characteristic vector of matrix

Practice questions

(1) Determine the characteristic vector of the matrix

“Mathematics, without this we can
do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding
solutions and it is also doing many things in our day to day life. They are:

It subtracts sadness and adds happiness in
our life.

It divides sorrow and multiplies forgiveness
and love.

Some people would not be able accept that the
subject Math is easy to understand. That is because; they are unable to realize
how the life is complicated. The problems in the subject Math are easier to
solve than the problems in our real life. When we people are able to solve all
the problems in the complicated life, why can we not solve the simple math
problems?

Many people think that the subject math is
always complicated and it exists to make things from simple to complicate. But
the real existence of the subject math is to make things from complicate to
simple.”