Problem

If \( A = \begin{bmatrix} 2 & 4\\ 1 & 3\end{bmatrix} \), find the result of the scalar multiplication \( 5A \).

Solution

Step 1 :Firstly, we write down the matrix A: \( A = \begin{bmatrix} 2 & 4\\ 1 & 3\end{bmatrix} \).

Step 2 :Scalar multiplication involves multiplying every entry of the matrix by the scalar. So, we multiply every entry of A by 5: \( 5A = 5 * \begin{bmatrix} 2 & 4\\ 1 & 3\end{bmatrix} \)

Step 3 :Carrying out the multiplication gives us: \( 5A = \begin{bmatrix} 5*2 & 5*4\\ 5*1 & 5*3\end{bmatrix} \)

Step 4 :Simplifying that, we get the final answer: \( 5A = \begin{bmatrix} 10 & 20\\ 5 & 15\end{bmatrix} \)

From Solvely APP
Source: https://solvelyapp.com/problems/uIRsfGCGCC/

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