Suppose a 2 × 2 matrix A has an eigenvector (1 2) , with corresponding eigenvalue −4. what is A(-2 -4) ?
2 Answers
# A ( (-2, -4) ) = ( (8,16) ) #
Explanation:
If
# A ul v = lamda ul v #
From which we get with
# A ( (1,2) ) = -4 ( (1,2) ) \ \ \ ..... (star)#
A properties of matrices is that
# A ( (-2, -4) ) = (-2)A ( (1, 2) ) #
# " " = (-2)(-4) ( (1,2) ) # using#(star)#
# " " = 8 ( (1,2) ) #
# " " = ( (8,16) ) #
By definition, the eigenvectors (
Suppose a 2 × 2 matrix A has an eigenvector (1 2) , with corresponding eigenvalue −4. what is A(-2 -4) ?
This means that:
So with the question what is A(-2 -4) ?: