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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 62 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 62 Maths Textbook Solution.

Answers (1)

Answer: A=\begin{bmatrix} 4\frac{1}{2}\: \frac{5}{2}16 \\ \end{bmatrix}_{2\times2}

Hint: Here we use basic concept of matrix

Given:A=a_{ij} \; \; a_{ij}=\frac{1}{2}\left [ -3i+j \right ] if \: i\neq j; a_{ij}=(i+j)^{2} if\: i=j

Solution:

\! \! \! \! \! \! \! \! A=\begin{bmatrix} a_{11} &a_{12} &a_{21} &a_{22} \end{bmatrix}Given \: a_{ij}=\frac{1}{2}\begin{bmatrix} -3i +j \end{bmatrix}if\: i\neq j;a_{ij}=(i+j)^{2}if\: i=ja_{11}=\begin{bmatrix} 1+1 \end{bmatrix}^{2}

\! \! \! \! \! =4a_{ij}=\frac{1}{2}\begin{bmatrix} -3(1)+2 \end{bmatrix}=\frac{1}{2}a_{21}=\frac{1}{2}\begin{bmatrix} -3(2) +1\end{bmatrix}=\frac{5}{2}a_{22}=\begin{bmatrix} 2+2 \end{bmatrix}^{2}=16A

=\begin{bmatrix} a_{11} &a_{12} &a_{21} &a_{22} \end{bmatrix}=\begin{bmatrix} 4\frac{1}{2}\: \frac{5}{2}16 \\ \end{bmatrix}_{2\times2}

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