## 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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