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  • Please solve RD Sharma class 12 Chapter Algebra of Matrices  exercise 4.3 question 1 sub question (ii) maths textbook solution.

Please solve RD Sharma class 12 Chapter Algebra of Matrices  exercise 4.3 question 1 sub question (ii) maths textbook solution.

Answers (1)

\begin{bmatrix} 7 &-2 &5 \\ -7 &10 &3 \end{bmatrix}

Hint: matrix multiplication is only possible, when number of columns of first matrix is equal to the number of rows of second matrix.

Given: \begin{bmatrix} 1 &-2 \\ 2& 3 \end{bmatrix} \begin{bmatrix} 1 &2 &3 \\ -3 &2 &-1 \end{bmatrix}

\left[\begin{array}{lll} 1+6 & 2-4 & 3+2 \\ 2-9 & 4+6 & 6-3 \end{array}\right]

On simplification we get,

\begin{bmatrix} 7 &-2 &5 \\ -7 &10 &3 \end{bmatrix}

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