## Characteristic vector Worksheet

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

 5 0 1 0 -2 0 1 0 5

(2) Determine the characteristic vector of the matrix

 1 1 3 1 5 1 3 1 1

characteristic vector worksheet characteristic vector worksheet

Solution

(3) Determine the characteristic vector of the matrix

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

(4) Determine the characteristic vector of the matrix

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

(5) Determine the characteristic vector of the matrix

 11 -4 -7 7 -2 -5 10 -4 -6 “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: