Problem

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

Solution

Step 1 :First, identify the scalar and the matrix. The scalar is 3 and the matrix is \( A = \begin{bmatrix} 2 & 3\\ 4 & 5 \end{bmatrix} \).

Step 2 :Second, multiply each element in the matrix by the scalar. \( 3 \times \begin{bmatrix} 2 & 3\\ 4 & 5 \end{bmatrix} = \begin{bmatrix} 3 \times 2 & 3 \times 3\\ 3 \times 4 & 3 \times 5 \end{bmatrix} \).

Step 3 :Finally, simplify the resulting matrix. \( \begin{bmatrix} 3 \times 2 & 3 \times 3\\ 3 \times 4 & 3 \times 5 \end{bmatrix} = \begin{bmatrix} 6 & 9\\ 12 & 15 \end{bmatrix} \).

From Solvely APP
Source: https://solvelyapp.com/problems/DhlLqCwXb9/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download