Pregunta
Find \( -8 A \) if \( A \) is the matrix \( \left[\begin{array}{r}9 \\ -3 \\ 1\end{array}\right] \)
Ask by Garrett Delgado. in the United States
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\[
-8A = \begin{bmatrix} -72 \\ 24 \\ -8 \end{bmatrix}
\]
Solución
We are given
\[
A = \begin{bmatrix} 9 \\ -3 \\ 1 \end{bmatrix}
\]
and we want to compute
\[
-8A.
\]
**Step 1.** Multiply each entry of the matrix \( A \) by \(-8\).
**Step 2.** Compute the products:
- \(-8 \times 9 = -72\)
- \(-8 \times (-3) = 24\)
- \(-8 \times 1 = -8\)
**Step 3.** Write the resulting matrix:
\[
-8A = \begin{bmatrix} -72 \\ 24 \\ -8 \end{bmatrix}.
\]
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Simplifique esta solución Bonus Knowledge
To find \( -8 A \) where \( A = \left[\begin{array}{r}9 \\ -3 \\ 1\end{array}\right] \), we need to multiply each element of the matrix \( A \) by \(-8\). Calculating this step-by-step: \[ -8 A = -8 \left[\begin{array}{r}9 \\ -3 \\ 1\end{array}\right] = \left[\begin{array}{r}-8 \times 9 \\ -8 \times -3 \\ -8 \times 1\end{array}\right] = \left[\begin{array}{r}-72 \\ 24 \\ -8\end{array}\right] \] So, \( -8 A = \left[\begin{array}{r}-72 \\ 24 \\ -8\end{array}\right] \).
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