Home | | Maths 11th std | Equality of Matrices

Definition, Solved Example Problems - Equality of Matrices | 11th Mathematics : UNIT 7 : Matrices and Determinants

Chapter: 11th Mathematics : UNIT 7 : Matrices and Determinants

Equality of Matrices

Two matrices A = [ aij ] and B = [bij ] are equal (written as A = B)

Equality of Matrices


Definition 7.13

Two matrices A = [ aij ] and B = [bij ] are equal (written as A = B) if and only if

(i) both A and B are of the same order

(ii) the corresponding entries of A and B are equal. That is, aij  = bij  for all i and j.


For instance, if



Definition 7.14

Two matrices A and B are called unequal if either of condition (i) or (ii) of Definition 7.13 does not hold.


For instance, as the corresponding entries are not equal. Also   as the orders are not the same.


Example 7.3

Find x, y, a, and b if


Solution

As the orders of the two matrices are same, they are equal if and only if the corresponding entries are equal. Thus, by comparing the corresponding elements, we get

3x + 4 y = 2, x − 2 y = 4,

a + b = 5,  

and 2a b = −5.

Solving these equations, we get  x = 2, y = −1, a = 0,  and b = 5.


Tags : Definition, Solved Example Problems , 11th Mathematics : UNIT 7 : Matrices and Determinants
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
11th Mathematics : UNIT 7 : Matrices and Determinants : Equality of Matrices | Definition, Solved Example Problems


Privacy Policy, Terms and Conditions, DMCA Policy and Compliant

Copyright © 2018-2023 BrainKart.com; All Rights Reserved. Developed by Therithal info, Chennai.