+0  
 
0
42
1
avatar+79 

The first matrix (A) shows the number of cars and bicycles owned by two families.  The second matrix (B) records the wheels and seats for cars and bicycles.

 

Use a matrix product to find a matrix that gives the number of wheels and seats owned by each family.

 

A = 

 CarsBicycles
Smith23
Jones14

 

B = 

 WheelsSeats
Car45
Bicycle21

 

(Matrices are in tables as I cant make matrices)

 May 10, 2020
edited by MathsLlama  May 11, 2020
 #1
avatar+24992 
+1

The first matrix (A) shows the number of cars and bicycles owned by two families. 

The second matrix (B) records the wheels and seats for cars and bicycles.

Use a matrix product to find a matrix that gives the number of wheels and seats owned by each family.

 

\(\begin{array}{|c|c|c|} \hline A & \text{Cars} & \text{ Bicycles } \\ \hline \text{Smith} & 2 & 3 \\ \hline \text{Jones} & 1 & 4 \\ \hline \end{array} \begin{array}{|c|c|c|} \hline B & \text{Wheels} & \text{ Seats } \\ \hline \text{Car} & 4 & 5 \\ \hline \text{Bicycle} & 2 & 1 \\ \hline \end{array}\)

 

\(\begin{array}{|rcll|} \hline A \times B &=& \left( \begin{array}{cc} 2 & 3 \\ 1 & 4 \\ \end{array}\right) \times \left(\begin{array}{cc} 4 & 5 \\ 2 & 1 \\ \end{array}\right) \\ &=& \left(\begin{array}{cc} 14 & 13 \\ 12 & 9 \\ \end{array}\right) \\ \hline \end{array} \)

 

\(\begin{array}{|c|c|c|} \hline A\times B & \text{Wheels} & \text{ Seats } \\ \hline \text{Smith} & 14 & 13 \\ \hline \text{Jones} & 12 & 9 \\ \hline \end{array} \)

 

laugh

 May 11, 2020

8 Online Users

avatar