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Please Solve R.D.Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 7 maths Textbook Solution.

Answers (1)

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Answer: The correct option is (A), A^{n}=\left[\begin{array}{ccc} a^{n} & 0 & 0 \\ 0 & a^{n} & 0 \\ 0 & 0 & a^{n} \end{array}\right]

Given: The matrix AB is zero.

Solution:

If the matrix AB is zero, then, it is not necessary that either A = 0 or B = 0.

So, the option (A) is correct.

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