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  • Provide Solution for R. D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 43 Maths Textbook Solution.

Provide Solution for R. D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions  Question 43 Maths Textbook Solution.

Answers (1)

Answer: AB and BA are both defined

Given: A=\left[\begin{array}{ccc} 2 & -1 & 3 \\ -4 & 5 & 1 \end{array}\right], B=\left[\begin{array}{cc} 2 & 3 \\ 4 & -2 \\ 1 & 5 \end{array}\right]

Hint: Check order of both matrices

Solution:

Hence order of the matrix A=2\times 3

And order of the matrix B=3\times 2

\therefore Columns of matrix A= Rows of matrix B

\RightarrowAB is defined

Also here column of matrix B= Rows of matrix A

\Rightarrow BA is defined

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