Observe that the blue vectors are orthogonal to the corresponding red and brown coordinate grid lines on the bottom picture. [br]Explain this by computing the dot product of each blue vector and each red vector.[br]HINT: The blue vectors come from rows of A, the red vectors come from columns of [math]A^{-1}[/math]; Now, interpret the entries of  [math]AA^{-1}[/math] as dot products. [br]