Let a be an n x n matrix, and z: = {b in mnxn | ab=ba}. (this z is called the centralizer of a.) show: * z is a vector subspace of mnxn* z is a subring of mnxn* the centralizers of conjugate matrices are isomorphic rings.* dim(z) is at least n.

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation:

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45