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.