Two astronauts are 2.00 m apart in their spaceship. one speaks to the other. the conversation is transmitted to earth via electromagnetic waves. the time it takes for sound waves to travel at 354 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth. how far away from the earth is the spaceship?

Explanation:

For sound waves we have v=d/t where v is the speed of sound and d the distance between the astronauts, while for electromagnetic waves we have c=D/t where c is the speed of light and D the distance between the spaceship and Earth. We have written both times as the same because is what is imposed by the problem, so we have t=d/v=D/c, which means:

And for our values:

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.