Consider the matrix a. a = −3 6 1 −2 find the characteristic polynomial for the matrix a. (write your answer in terms of λ.) (−3−λ)(−2−λ)−(6) find the real eigenvalues for the matrix a. (enter your answers as a comma-separated list.) λ = 0,−5 find a basis for each eigenspace for the matrix a. 1 -2 (smaller eigenvalue) -3 1 (larger eigenvalue)

3

step-by-step explanation:

arc length = radius * x ( in radians)

6 * pi = 18 * x

divide by 18 on each side

6 pi / 18 = x

pi/3 = x

the angle is pi / 3 radians

or   60 degrees

d

step-by-step explanation:

the two points from this line are   (0,4)   & (2,-2)

we can call

now, lets find the slope (m):

now finding b (the y intercept). this is the point at the y-axis where the line cuts the axis. looking at the graph, it is y = 4. so the point is 4. hence b = 4

the slope-intercept form is given by  

putting the points, we have:

d is the correct answer.