Solved: Exercises 15 and 16 concern arbitrary matrices A,
Chapter 2, Problem 16E(choose chapter or problem)
Problem 16E
Exercises 15 and 16 concern arbitrary matrices A, B, and C for which the indicated sums and products are defined. Mark each statement True or False. Justify each answer.
a. The first row of AB is the first row of A multiplied on the right by B.
b. If A and B are 3 × 3 matrices and
then
c. If A is an n × n matrix, then
d.
e. The transpose of a sum of matrices equals the sum of their transposes.
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