Solving a Cost System Using Matrix Methods
A school club purchased t-shirts and pens for an event. The club bought 2 t-shirts and 3 pens for a total of $20, and 3 t-shirts and 2 pens for a total of $18. Use a 2×2 system of equations and matrix methods to determine the cost of one t-shirt and one pen.
Checking Unique Solution using Determinant
Given the system of linear equations: 2x + 3y = 5 4x – y = 11 Construct the coefficient matrix and calculate its determinant. Use your result to determine whether the system has a unique solution.