Griffin Dickson
02/19/2023 · Senior High School

Given the matrices \( A \) and \( B \) shown below, find \( 6 B+\frac{1}{6} A \)

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Step-by-step Solution

To find \( 6B + \frac{1}{6}A \), we first need the matrices \( A \) and \( B \). However, since you haven't provided the specific matrices, I will outline the steps you would take to compute \( 6B + \frac{1}{6}A \) once you have the matrices. 1. **Multiply Matrix \( B \) by 6**: - If \( B \) is a matrix, multiply each element of \( B \) by 6 to get \( 6B \). 2. **Multiply Matrix \( A \) by \( \frac{1}{6} \)**: - Similarly, take each element of matrix \( A \) and multiply it by \( \frac{1}{6} \) to get \( \frac{1}{6}A \). 3. **Add the Two Results**: - After calculating \( 6B \) and \( \frac{1}{6}A \), add the two resulting matrices together. Ensure that both matrices are of the same dimensions so that they can be added. 4. **Final Result**: - The resulting matrix from the addition will be \( 6B + \frac{1}{6}A \). If you provide the specific matrices \( A \) and \( B \), I can perform the calculations for you.

Quick Answer

To find \( 6B + \frac{1}{6}A \), multiply each element of \( B \) by 6, each element of \( A \) by \( \frac{1}{6} \), and then add the resulting matrices.
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