Eigenanalysis of a 2x2 matrix Consider a matrix . Find two linearly independent eigenvectors of and their corresponding eigenvalues . In order to be accepted as correct, all entries of the vector must have absolute value smaller than . Otherwise, neither nor is accepted. is an eigenvector of to the eigenvalue number (0 digits after decimal) . is an eigenvector of to the eigenvalue

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c