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State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2. (A – B) . C = A . C – B . C - Mathematics

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Question

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

(A – B) . C = A . C – B . C

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

Multiplication of matrices is distributive over subtraction.

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Chapter 9: Matrices - Exercise 9 (C) [Page 131]

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Selina Mathematics [English] Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (C) | Q 31.6 | Page 131

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