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An airline offers tickets on 3 routes from Atlanta: Chicago for $150, Boston for $160, and Dallas for $180, represented by the matrix [150 160 180] We can find the cost of four of each of the tickets by multiplying this matrix by one of the matrices below. Find it. (Please help @gmanyp)

An airline offers tickets on 3 routes from Atlanta Chicago for 150 Boston for 160 and Dallas for 180 represented by the matrix 150 160 180 We can find the cost class=

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gmany

[tex]\left[\begin{array}{ccc}150&160&180\end{array}\right]\\\\Answer:\ B)\ \left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right][/tex]

[tex]Check:\\\\\left[\begin{array}{ccc}150&160&180\end{array}\right] \cdot\left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}(150)(4)+(160)(0)+(180)(0)&(150)(0)+(160)(4)+(180)(0)&(150)(0)+(160)(0)+(180)(4)\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}600&640&720\end{array}\right][/tex]

Cost of four of each of the tickets:

[tex]Chicago:4\cdot\$150=\$600\\\\Boston:4\cdot\$160=\$640\\\\Dallas:4\cdot\$180=\$720[/tex]

CORRECT :)

Answer: B

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