The communication matrix below shows the communication links between five people: Steph , Tran ,Ursula , Vinh and Wanda .

In this matrix:

• the '1' in row , column indicates that Steph can communicate directly with Tran
• the '0' in row , column indicates that Vinh cannot communicate directly with Wanda.

Ursula needs to communicate with Steph.

The sequence of communication links that will successfully allow Ursula to communicate with Steph is

The diagram below shows the direct communication links that exist between Sam (S), Tai (T), Umi (U) and Vera (V). For example, the arrow from Umi to Vera indicates that Umi can communicate directly with Vera.
 

A communication matrix can be used to convey the same information.

In this matrix:

• a ‘1’ indicates that a direct communication link exists between a sender and a receiver
• a ‘0’ indicates that a direct communication link does not exist between a sender and a receiver.

The communication matrix could be

The communication matrix below shows the direct paths by which messages can be sent between two people in a group of six people, to .
 

A 1 in the matrix shows that the person named in that row can send a message directly to the person named in that column.

For example, the 1 in row 4, column 2 shows that can send a message directly to .

In how many ways can get a message to by sending it directly to one other person?

1. 0
2. 1
3. 2
4. 3
5. 4

The matrix below shows how five people, Alan (), Bevan (), Charlie (), Drew () and Esther (), can communicate with each other.
 

A 1 in the matrix shows that the person named in that row can send a message directly to the person named in that column.

For example, the 1 in row 3 and column 4 shows that Charlie can send a message directly to Drew.

Esther wants to send a message to Bevan.

Which one of the following shows the order of people through which the message is sent?

1. Esther – Bevan
2. Esther – Charlie – Bevan
3. Esther – Charlie – Alan – Bevan
4. Esther – Charlie – Drew – Bevan
5. Esther – Charlie – Drew – Alan – Bevan

A travel company has five employees, Amara (), Ben (), Cheng (), Dana () and Elka ().

The company allows each employee to send a direct message to another employee only as shown in the communication matrix below.

The matrix is also shown below.
 

The 1 in row , column of matrix indicates that Elka (sender) can send a direct message to Dana (receiver).

The 0 in row , column of matrix indicates that Elka cannot send a direct message to Cheng.

1. To whom can Dana send a direct message?   (1 mark)
   

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2. Cheng needs to send a message to Elka, but cannot do this directly.
3. Write down the names of the employees who can send the message from Cheng directly to Elka.   (1 mark) 
   

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