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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 52 Maths Textbook Solution.

Answers (1)

Answer: A=\begin{bmatrix} 8 &-3 &5 \\ -2 & -3 & -6 \end{bmatrix}

Hint: Here we use basic concept of subtraction of two matrix

Given: \begin{bmatrix} 9 &-1 &4 \\ -2 & 1 & 3 \end{bmatrix}=A+\begin{bmatrix} 1 &2 &-1 \\ 0 & 4 & 9 \end{bmatrix}

Solution:

\begin{aligned} &A=\left[\begin{array}{ccc} 9 & -1 & 4 \\ -2 & 1 & 3 \end{array}\right]-\left[\begin{array}{ccc} 1 & 2 & -1 \\ 0 & 4 & 9 \end{array}\right] \\ &=\left[\begin{array}{ccc} 9-1 & -1-2 & 4-(-1) \\ -2-0 & 1-4 & 3-9 \end{array}\right] \\ &=\left[\begin{array}{ccc} 8 & -3 & 5 \\ -2 & -3 & -6 \end{array}\right] \end{aligned}

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