AIOU Code 1339 Solved Assignment 1 Autumn 2022

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Q. 5 (a) Find the inverse of the given matrix: (12+8 = 20)

(b) Define even and odd functions with examples. Decide whether the equation x2 + y2 = 1 is a function? Explain. Find the domain of the function .


Q. 2 (a) If A is a square matrix, then show that A +At is symmetric. (8+12 = 20)

(b) Determine the solution of the system of equations by
(i) Matrix method
(ii) Cramer’s rule:
10x1 + 4x2 = 46
–5x1 + 6x2 = 9

Q. 3 (a) Find the solution of the given equation by factorization and completing square method. (10+10 = 20)
x2 – 8x + 15 = 0

(b) Solve the equation:


Q. 4 (a) Find two numbers whose sum and product are 14 and 45 respectively.
(7+7+6 = 20)
(b) Find the market equilibrium point for the following supply and demand functions:
Demand: P = –3q + 26
Supply: P = 4q – 9

(c) Find the x and y intercept if:
y = x2 – 2x – 8

Q. 5 (a) Simplify the following in binary system: (12+8=20)
i) {[10001101)2 x (2335)10} – (278)10
ii) {[11011101)2 ÷ (134)10} x (1011101)2

b) Evaluate the following:
i) (10001111.101)2 – (1101011)2
ii) (10101.101)2 x (1011.011)2