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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 18 Subquestion (i) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 18 Subquestion (i) Maths Textbook Solution.

Answers (1)

Answer: X = \begin{bmatrix} -1 & -2\\ -7 & -13 \end{bmatrix}

Hint: Add 2A + B matrix then transpose to RHS.

Given:A = \begin{bmatrix} -1 &2 \\ 3 & 4 \end{bmatrix} , B =\begin{bmatrix} 3 & -2\\ 1 & 5 \end{bmatrix}, 2A + B + x =0
Here, we have to compute X .
Solution:

2A + B + X =0

2\begin{bmatrix} -1 & 2\\ 3 & 4 \end{bmatrix} +\begin{bmatrix} 3 &-2 \\ 1 & 5 \end{bmatrix} + X = \begin{bmatrix} 0 &0 \\ 0& 0 \end{bmatrix}

\begin{bmatrix} -2 & 4\\ 6 & 8 \end{bmatrix} +\begin{bmatrix} 3 &-2 \\ 1 & 5 \end{bmatrix} + X = \begin{bmatrix} 0 &0 \\ 0& 0 \end{bmatrix}

\begin{bmatrix} -2+3 & 4-2\\ 6+1 & 8+5 \end{bmatrix} + X = \begin{bmatrix} 0 &0 \\ 0& 0 \end{bmatrix}

\begin{bmatrix} 1 & 2\\ 7 & 13 \end{bmatrix} + X = \begin{bmatrix} 0 &0 \\ 0& 0 \end{bmatrix}

X = \begin{bmatrix} -1 & -2\\ -7 & -13 \end{bmatrix}

 

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