1. In the matrix 2 5 19 7 5 A 35 2 12 2 3 1 5 17 = , write: (i) The order of the matrix, (ii) The number of elements, (iii) Write the elements a13, a21, a33, a24, a23. 2. If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements? 3. If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements? 4. Construct a 2 2 matrix, A = [aij], whose elements are given by: (i) 2 ( ) 2 ij i j a + = (ii) ij i a j = (iii) 2 ( 2 ) 2 ij i j a + = 5. Construct a 3 4 matrix, whose elements are given by: (i) 1 | 3 | 2 ij a = i + j (ii) 2 ij a = i j 6. Find the values of x, y and z from the following equations: (i) 4 3 5 1 5 y z x = (ii) 2 6 2 5 5 8 x y z xy + = + (iii) 9 5 7 x y z x z y z +
Question 1:In the matrix 2 5 19 7 5 A 35 2 12 2 3 1 5 17 − = − − , write: (i) The order of the matrix, (ii) The number of elements, (iii) Write the elements a13, a21, a33, a24, a23.
Question 2:If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?
Question 3:If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?
Question 4:Construct a 2 × 2 matrix, A = [aij], whose elements are given by: (i) 2 ( ) 2 ij i j a + = (ii) ij i a j = (iii) 2 ( 2 ) 2 ij i j a + =
Question 5:Construct a 3 × 4 matrix, whose elements are given by: (i) 1 | 3 | 2 ij a = − i + j (ii) 2 ij a = i − j
Question 6:Find the values of x, y and z from the following equations: (i) 4 3 5 1 5 y z x = (ii) 2 6 2 5 5 8 x y z xy + = + (iii) 9 5 7 x y z x z y z + + + = +
Question 7:Find the value of a, b, c and d from the equation: 2 1 5 2 3 0 13 a b a c a b c d − + − = − +
Question 8:A = [aij]m × n is a square matrix, if (A) m < n (B) m > n (C) m = n (D) None of these
Question 9:Which of the given values of x and y make the following pair of matrices equal 3 7 5 1 2 3 x y x + + − , 0 2 8 4 y − (A) 1 , 7 3 x y − = = (B) Not possible to find (C) y = 7, 2 3 x − = (D) 1 2 , 3 3 x y − − = =
Question 10:The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is: (A) 27 (B) 18 (C) 81 (D) 512
