Spin and matrices (20 points total) (10 pts) using the matrix representation of the sa-α-x, y, z operators, compute the matrix representation of s2operator. remember, s is a vector operator, so its square is understood as a dot product of two vectors (each of which is a matrix) (10 pts) using the matrix representation of the s2 operator and the vector representation of the α and b spin states, show that the latter are the eigenvectors of s2 and compute the corresponding eigenvalues.

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

a.   mass number from atomic number

get the total number of pieces of fruit and divide it by 4 to get the average. the result is the answer to the problem. 14 total number of fruits and there are 4 members. 14 divided by 4 is equals to 3.5.