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?

give more details

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the answer is 21%.