has elements, what are the possible orders it can have? What, if it has elements? . If a matrix has elements, what are the possible orders it can have?
What, if it has elements? . Construct a × matrix, A = [ a ij ], whose elements are given by: ( ) ij i j ij i j (iii) ( ) ij i j . Construct a × matrix, whose elements are given by: | | ij i j ij i j .
Find the values of x , y and z from the following equations: z z xy (iii) z z z . Find the value of a , b , c and d from the equation: d MATRICES . A = [ a ij ] m × n\ is a square matrix, if (A) m < n (B) m > n (C) m = n (D) None of these . Which of the given values of x and y make the following pair of matrices equal , y − (A) , (B) Not possible to find (C) y = , (D) , .
The number of all possible matrices of order × with each entry or is: (A) (B) (C) (D) . 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. . .
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 , and . The quantities produced by each factory are represented as matrices given below: Suppose Fatima wants to know the total production of sport shoes in each price category. Then the total production In category : for boys ( + ), for girls ( + ) In category : for boys ( + ), for girls