Let v denote the vector space consisting of all n x n matrices with entries in f (you may assume, without givingaproof, thatv isavectorspaceoverf). let w ={aev : at =-a}, where at denotesthe transpose of the matrix a.
(a) prove that w is a subspace of v .
(b) find a finite set of elements of w that span w.
(c) find a basis for w.
(d) find dim(w).

Astudent is given an assignment to demonstrate diffraction. he takes a photograph of a straw in a glass of water. the straw appears bent at the water level. which best describes this example? a) this is a good example of diffraction. b) this is an example of dispersion and not diffraction. c) this is an example of refraction and not diffraction. d) this is an example of reflection and not diffraction.

In automobile steering wheel is shown what is the ideal mechanical advantage blank? if the ama is eight what is the efficiency of the steering wheel?

The star betelgeuse is about 600 light-years away. if it explodes tonight, a. we'll know because debris from the explosion will rain down on us from space.b. we'll know it immediately because it will be brighter than the full moon in the sky.c. we won't know about it until 600 years from now.d. none of the above.