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Liono4ka [1.6K]
2 years ago
14

A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]

Mathematics
1 answer:
zepelin [54]2 years ago
6 0

Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

  • 60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]

Reasons:

The matrix <em>A</em> is presented as follows;

A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}

Using the multiplication of a matrix and a scalar, we have;

60 \cdot A = 60 \cdot  \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] =  \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]

Therefore;

60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]

Learn more about matrices here:

brainly.com/question/14296012

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Step-by-step explanation:

1) x/20 = -9

By cross multiplication,

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k = -168/-14

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8) 9k + 3 = -78

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By taking LCM,

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n = 16

10) -5r + 7 = -73

-5r = -80

r = 16

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

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