An ad for an above-ground pool states that it has an area of 25 m2. from the photograph in the ad you can tell that the pool is circlular. if you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim

5.64 m

The longest straight line i.e. chord that can be drawn in a circle is its along the diameter.

we know area of a circle is given by:

Hence, the swimmer can swim the longest distance of d = 5.64 m in the pool.

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.

where are the vectors ?