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iii Write the elements a3 a21 a332 a242 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 possib orders it can have What if it has 5 elements 4 Construct a 2 2 matrix A i j 2 5 Construct a 3 x 4 matrix whose elements are given by 1 aj 1 X 1 a ii a 2i j 6 Find the values of x y and z from the following equations 4 3 1 A x 35 3 a whose elements are given by 5 2 3x Z 7 Find the value of a b c and d from the equation a b 2a c 30 4 0 5 2a b 3c d 8 A am is a square matrix if n A m n B m n ii y 7 x y 2 5 z xy Rationalised 2023 24 0 y 2 4 62 58 Factory at A Boys Girls 13 C m n D None of these 9 Which of the given values of x and y make the following pair of matrices equal 3x 7 x 8 y 1 iii aij D x y present B Not possible to find 2 2 Boys 2 C y 7 x 3 3 3 10 The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is A 27 B 18 C 81 Factory at B i 2j 2 x y z x Z y z MATRICES Girls II 3 4 Operations on Matrices In this section we shall introduce certain operations on matrices namely addition of matrices multiplication of a matrix by a scalar difference and multiplication of matrices 5 3 4 1 Addition of matrices Suppose Fatima has two factories at places A and B Each factory produces sport shoes for boys and girls in three different price categories labelled 1 2 and 3 The quantities produced by each factory are represented as matrices given below 43

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