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  • Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 23

Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 23

Answers (1)

Answer:

 BA = AB

Hint:

Use the basic concept of symmetric and skew symmetric matrix. 

Given:

 A and B are two skew symmetric matrixes.

Solution:

 A and B are two skew symmetric matrixes, then

\begin{aligned} &A=-A^{T} \quad \ldots(1) B=-B^{t} \quad \ldots \text { (2) }\\ &A B=(A B)^{T} A B=B^{T} A^{T}\\ &\text { By equations }(1),(2)\\ &A B=(-B)(-A)\\ &A B=B A \end{aligned}

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Gurleen Kaur

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