Give an example of a 2x2 matrix without any real eigenvalues:

Step-by-step explanation:

An eigenvalue of n × n is a function of a scalar  considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =  

Suppose the matrix

Thus, the equation of the determinant (A - 1) = 0

This implies that:

Hence, the eigenvalues of the equation are

Also, the eigenvalues can be said to be complex numbers.

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

step-by-step explanation: noo