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  • Need Solution for R.D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 22 Maths Textbook Solution.

Need Solution for R.D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 22 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (A), 3\times 4

Given: \mathrm{A}^{\mathrm{T}} \mathrm{B} and \mathrm{BA}^{\mathrm{T}} are both defined.

Solution:

As \mathrm{A}^{\mathrm{T}} \mathrm{B} and \mathrm{BA}^{\mathrm{T}} are both defined, the number of columns in B should be equal to the number of rows in A for BA and also, the number of columns in A should be equal to the number of rows in B for BA.

So, the order of the matrix is B=3\times 4

Thus, the correct option is (A).

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