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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 7 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 7 Maths Textbook Solution.

Answers (1)

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

Hint: Here we use concept of matrix multiplication

Given: A=\begin{bmatrix} i &0 \\ 0 & i \end{bmatrix}

Solution:

A=\begin{bmatrix} i &0 \\ 0 & i \end{bmatrix}

A^{2}=\begin{bmatrix} i &0 \\ 0 & i \end{bmatrix}\begin{bmatrix} i &0 \\ 0 & i \end{bmatrix}

       =\begin{bmatrix} i^{2}+0 &0+0 \\ 0+0 &0+ i^{2} \end{bmatrix}=\begin{bmatrix} i^{2} &0 \\ 0 & i^{2} \end{bmatrix}

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