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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 13 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 13 Maths Textbook Solution.

Answers (1)

Answer: A^{2}=I=\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0& 0 &1 \end{bmatrix}

Hint: Here, we use the concept of matrix multiplication

Given: A=\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0& 0 &1 \end{bmatrix} \: A^{2}=?

Solution:

A^{2}=\begin{bmatrix} -1 & 0 & 0\\ 0 & -1 & 0\\ 0& 0 &-1 \end{bmatrix} \times \begin{bmatrix} -1 & 0 & 0\\ 0 & -1 & 0\\ 0& 0 &-1 \end{bmatrix}

=\begin{bmatrix} 1+0+0 & 0+0+0 & 0+0+0\\ 0+0+0 & 1+0+0 & 0+0+0\\ 0+0+0& 0+0+0 &1+0+0 \end{bmatrix}

=\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0\\ 0& 0&1 \end{bmatrix}

A^{2}=I

Note: To solve this type of question, must care about matrix multiplication rule.

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