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Need Solution for R. D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 42 Maths Textbook Solution.

Answers (1)

Answer: A^{2}-B^{2}+B A-A B

Given: If A and B are square matrices of the same order then (A+B)(A-B)=

Hint: You must know the multiplying the matrices

Solution:

\begin{aligned} &(A+B)(A-B) \\ &=A(A-B)+B(A-B) \\ &=A^{2}-A B+B A-B^{2} \\ &=A^{2}-B^{2}+B A-A B \end{aligned}

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