Assignment01
.pdf
School
North South University**We aren't endorsed by this school
Course
BUS 135
Subject
Economics
Date
Dec 18, 2024
Pages
2
Uploaded by PrivateClover22106
Assignment#01 1.Check whether the following equation specify function or relation:(i) ? = ??− ??? + 𝟖?(ii) ? =??−???−???+?𝟖(iii) ???+ ???= ???2.Suppose ? = 500? − 2?2; 0 ≤ ? ≤ 50. Find the domain and range of that function. 3.Consider the following price-demand function:? = ??? − ??,{?/? ≤ ? ≤ ??}(i)Find the revenue function. (ii)Suppose? = 20 + 5Q, find the profit function. (iii)Calculate the profit if Q=5. (iv)Find the break-even level of output. 4.Given that: A=[930456125], B=[2−41642923]Show that matrix multiplication is not commutative i.e. BAAB. 5.Given that: ? = [1056]? = [1246]? = [2413]Show that (???)𝑇= ?𝑇?𝑇?𝑇6.Check whether the following matrices are singular or non-singular:(i)A=[623074513](ii)B=[−228054419]
7.Find the rank of the following matrices: A=[521024316]B=[6231246513]8.Find the inverse of the following matrices and show that they are unique. A=[246071−135]B=[0258−34412]9.Express the following equation system in matrix form and then solve it by Cramer’s rule: 2? + 4? − 3? = 123? − 5? + 2? = 13−? + 3? + 2? = 17