## Characteristic roots Worksheet

In this page characteristic roots worksheet we are going to see some practice questions that how to find characteristic roots 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 roots  of matrix Practice questions

(1) Determine the characteristic roots of the matrix

 5 0 1 0 -2 0 1 0 5

(2) Determine the characteristic roots of the matrix

 1 1 3 1 5 1 3 1 1

(3) Determine the characteristic roots of the matrix

 -2 2 -3 2 1 -6 -1 -2 0

(4) Determine the characteristic roots of the matrix

 4 -20 -10 -2 10 4 6 -30 -13

(5) Determine the characteristic roots of the matrix

 11 -4 -7 7 -2 -5 10 -4 -6

characteristic roots worksheet  characteristic roots worksheet

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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.

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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.”