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Scalar Multiplication of Matrices
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ACT Prep
ACTM.068 Scalar Multiplication of Matrices
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In a matrix operation, each entry of \(L=\begin{bmatrix} 14 & 0 & 6 & -2 \end{bmatrix}\) is multiplied by \(\left(-\frac{7}{2}\right)\). Which matrix is the result?
A
\(\begin{bmatrix} 49 & 0 & 21 & -7 \end{bmatrix}\)
B
\(\begin{bmatrix} -49 & 0 & -21 & 7 \end{bmatrix}\)
C
\(\begin{bmatrix} 49 & 0 & 21 & 7 \end{bmatrix}\)
D
\(\begin{bmatrix} \frac{21}{2} & -\frac{7}{2} & \frac{5}{2} & -\frac{11}{2} \end{bmatrix}\)
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