Find all values of the angle θ (in radians, with 0 ≤ θ < 2π) for which the matrix a = cos θ −sin θ sin θ cos θ has real eigenvalues. (enter your answers as a comma-separated list.)

The matrix

has eigenvalues such that

for all values of , so we need to have in order for to be real-valued. This happens for

where is any integer, and over the given interval we have and .

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

x/3-10=8

x/3=18

x=48