For three matrices of equal size, a, b, and c, does it follow that a + (b + c) = (a + b) + c?
a. determine if the statement is true geometrically. let a be the matrix representing a reflection across the
y-axis. let b be the matrix representing a counterclockwise rotation of 30°. let c be the matrix representing
a reflection about the x-axis. let x be the point

b. confirm your results algebraically.
what do your results say about matrix addition?