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  • Provide Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 19 Maths Textbook Solution.

Provide Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 19 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (D).

Given: A is a Square Matrix.

Solution:

If A is a Square matrix,

\begin{aligned} &\text { Let } A=\left[\begin{array}{ll} 1 & 2 \\ 1 & 0 \end{array}\right] \\ &\begin{aligned} A A &=\left[\begin{array}{ll} 1 & 2 \\ 1 & 0 \end{array}\right] \times\left[\begin{array}{ll} 1 & 2 \\ 1 & 0 \end{array}\right] \\ &=\left[\begin{array}{ll} 3 & 2 \\ 1 & 2 \end{array}\right] \end{aligned} \end{aligned}

Then, AA is neither of the matrices given in the options of the question.

So, the correct option is (D).

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