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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 14 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 14 Maths Textbook Solution.

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Answer:  C = \begin{bmatrix} -3 &4 &-1 \\ -3& 0 &-1 \end{bmatrix}

Hint: Zero matrix is \begin{bmatrix} 0 &0 \\ 0& 0 \end{bmatrix} 

Add A and B matrices. Then, find C.

Given: A =\begin{bmatrix} 1 &-3 &2 \\ 2 & 0 &2 \end{bmatrix} , B =\begin{bmatrix} 2 &-1 & -1\\ 1& 0 & -1 \end{bmatrix} , A + B + C = 0

Here, we have to compute C.

Solution:

A + B + C =\begin{bmatrix} 0 &0 &0 \\ 0& 0 & 0 \end{bmatrix}

\begin{bmatrix} 1 & -3 &2 \\ 2 &0 &2 \end{bmatrix} +\begin{bmatrix} 2 & -1&-1 \\ 1& 0 & -1 \end{bmatrix} + C = \begin{bmatrix} 0 &0 &0 \\ 0& 0& 0 \end{bmatrix}

\begin{bmatrix} 3 & -4 &1\\ 3 &0 &1 \end{bmatrix} + C = \begin{bmatrix} 0 &0 &0 \\ 0& 0& 0 \end{bmatrix}

C = \begin{bmatrix} 0 &0 &0 \\ 0& 0& 0 \end{bmatrix}-\begin{bmatrix} 3 & -4 &1\\ 3 &0 &1 \end{bmatrix}

C = \begin{bmatrix} -3 &4 &-1 \\ -3& 0 &-1 \end{bmatrix} 

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