Mark each statement true or false. justify your answer.
(a)- if a and b are 2 times 2 with columns a_1, a_2, and b_1, b_2, respectively, then ab = [a_1 b_1 a_2 b_2].
(b)- each column of ab is a linear combination of the columns of b using weights from the corresponding column of a.
(c)- ab + ac = a (b + c)
(d)- a^t + b^t = (a + b)^t
(e)- the transpose of a product of matrices equals the product of their transposes in the same order.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

9.4.34  question   to estimate the height of a stone  figure, an observer holds a small square up to her eyes and walks backward from the figure. she stops when the bottom of the figure aligns with the bottom edge of the  square, and when the top of the figure aligns with the top edge of the square. her eye level is 1.811.81 m from the ground. she is 3.703.70 m from the figure. what is the height of the figure to the nearest hundredth of a  meter?

24m^2n+30mn^2+18mn, a sweet challenge!