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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 46 Maths Textbook Solution.

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Answer: B \: is \: 2\times3 order matrix

Hint: Here, we use the basic concept of transpose of matrix

Given: A \: is \: 2\times3 matrix and B is matrix such that A^{T}B\: and \: BA^{T}both are defined then what is order of B


A \: is \: 2\times3 matrix


A^{T} is 3\times 2 matrix

Here, A^{T}B  is exist

=A^{T} _{3\times2}\: B_{m\times n}

So,m=2 in B

Here BA^{T} is exist

=B_{2\times n}\: A^{T}_{3\times 2}

So,n=3 in B

So,B is 2\times3 matrix

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