RD Sharma Chapter 1 : Number System Exercise 1.5 Solutions Find whether the following statements are true or false. (i) Every real number is either rational or irrational. (ii) is an irrational number. (iii) Irrational numbers cannot be represented by points on the number line Watch Solution Complete the following sentences: (i) Every point on the […]
RD Sharma Chapter 1 : Number System Exercise 1.4 Solutions Define an irrational number. Watch Solution Explain, how irrational numbers differ from rational numbers ? Watch Solution Examine, whether the following numbers are rational or irrational (i)√7 (ii) √4 (iii) 2+√3 Watch Solution Identify the following are rational or irrational numbers. Give the decimal representation of
RD Sharma Chapter 1 : Number System Exercise 1.3 Solutions Express each of the following decimals in the form p/q. (i) 0.39 (ii) 0.750 (iii) 2.15 Watch Solution Express decimal in the form of p/q : 0.4 bar Watch Solution Express decimal in the form of p/q : 0.37 bar Watch Solution Express decimal in the
RD Sharma Chapter 1 : Number System Exercise 1.2 Solutions Express the following rational numbers as decimals: (i) 42/100 (ii) 327/500 (iii) 15/4 Watch Solution Express the following rational numbers as decimals: (i) 2/3 (ii) -4/9 (iii) -2/15 (iv) -22/13 (v) 437/999 Watch Solution Look at several examples of rational numbers in the form p/q (q≠0),
RD Sharma Chapter 1 : Number System Exercise 1.1 Solutions Are the following statements true or false? Give your reasons for your answer. (i) Every whole number is a natural number. (ii) Every integer is a rational number (iii) Every rational number is an integer (iv) Every natural number is a whole number. (v) Every
RD Sharma Chapter 5 : Algebra of Matrices Multiple Choice Question Solutions If A = [[i, 0], [0, i]], n∈N, then A^4n equals Watch Solution If A = [[1, 0, 0], [0, 1, 0], [a, b, -1]], then A^2 is equal to Watch Solution If A and B are two matrices such that AB = A
RD Sharma Chapter 5 : Algebra of Matrices Very Short Question Answer Solutions If A = [[2, 1, 4], [4, 1, 5]] and B = [[3, -1], [2, 2], [1, 3]]. Write the orders of AB and BA. Watch Solution If A is an m×n matrix and B is n×p matrix does AB exist ? If
RD Sharma Chapter 5 : Algebra of Matrices Exercise 5.5 Solutions If A=[[2, 3], [4, 5]], prove that A – A^T is skew-symmetric matrix. Watch Solution If A = [[3, -4], [1, -1]], show that A – A^T is a skew-symmetric matrix. Watch Solution If the matrix A = [[5, 2, x], [y, z, -3], [4,
RD Sharma Chapter 5 : Algebra of Matrices Exercise 5.4 Solutions Let A = [[2, -3],[-7, 5]] and B=[[1, 0],[2, -4]], verify that (2A)^T = 2A^T Watch Solution Let A = [[2, -3], [-7, 5]] and B = [[1, 0], [2, -4]], verify that (A + B)^T = A^T + B^T Watch Solution Let A =
RD Sharma Chapter 5 : Algebra of Matrices Exercise 5.3 Solutions Compute the indicated product : [[a, b], [-b, a]] [[a, -b], [b, a]] Watch Solution Compute the indicated product : [[1, -2], [2, 3]] [[1, 2, 3], [-3, 2, -1]] Watch Solution Compute the indicated product : [[2, 3, 4], [3, 4, 5], [4, 5,
