2026 YTSS P1 Q24

Tickets to a concert were sold. The seats were divided into 3 sectors, A, B and C.

On Friday, 56 Sector A tickets, 84 Sector B tickets and 78 Sector C tickets were sold.

On Saturday, 62 Sector A tickets, 76 Sector B tickets and 95 Sector C tickets were sold.

1. Represent this information in a \(2\times3\) matrix, \(E\).[1]
2. The price per ticket is \$20 for Sector A, \$15 for Sector B and \$12 for Sector C.
   Write down a column matrix \(F\) to represent the price per seat.[1]
3. Evaluate the matrix \(G=EF\).[2]
4. State what each element of matrix \(G\) represents.[1]
5. Using matrix multiplication, find the total amount of money collected from selling all of the tickets.[2]