Matrix Operations: Addition, Subtraction & Real-Life Examples

A bakery produces two types of cakes: chocolate and vanilla. In one week, they made 30 chocolate cakes and 20 vanilla cakes. Represent this as a matrix A. If the next week they made 10 more chocolate cakes and 5 more vanilla cakes, represent this as matrix B. What is the resulting matrix when you add matrices A and B?

• [[35], [25]]

• [[40], [20]]

• [[40], [25]]

• [[30], [20]]

A school has two classes, Class A and Class B. Class A has 25 students and Class B has 30 students. Represent the number of students in each class as a matrix C. If 5 students from Class A transfer to Class B, what will be the new matrix representing the number of students in each class after the transfer?

• [[20], [30]]

• [[20], [35]]

• [[25], [30]]

• [[30], [25]]

A gym has two types of memberships: basic and premium. In January, they had 100 basic memberships and 50 premium memberships. Represent this as matrix F. In February, they gained 20 new basic memberships and lost 10 premium memberships. What is the resulting matrix after these changes?

• [[100], [50]]

• [[120], [50]]

• [[90], [60]]

• [[120], [40]]

A farmer grows two types of crops: corn and wheat. In one season, he harvested 200 kg of corn and 150 kg of wheat. Represent this as matrix G. If in the next season he harvested 250 kg of corn and 100 kg of wheat, what is the resulting matrix when you subtract the first season's harvest from the second season's harvest?

• [[100], [50]]

• [[50], [-50]]

• [[250], [50]]

• [[0], [100]]

A library has two sections: fiction and non-fiction. In one month, they had 300 fiction books and 200 non-fiction books. Represent this as matrix H. If they received 50 new fiction books and donated 30 non-fiction books, what is the new matrix representing the number of books in each section?

• [[350], [170]]

• [[300], [170]]

• [[350], [200]]

• [[300], [200]]

A tech company has two departments: development and marketing. In one quarter, the development department completed 15 projects and the marketing department completed 10 campaigns. Represent this as matrix I. If in the next quarter, the development department completed 5 more projects and the marketing department completed 3 more campaigns, what is the resulting matrix after these changes?

• [[25], [12]]

• [[15], [10]]

• [[20], [13]]

• [[18], [15]]

A concert hall has two types of seating: regular and VIP. In one event, they sold 200 regular tickets and 50 VIP tickets. Represent this as matrix J. If for the next event they sold 250 regular tickets and 30 VIP tickets, what is the resulting matrix when you subtract the first event's sales from the second event's sales?

• [[100, 20]]

• [[50, -20]]

• [[250, 30]]

• [[0, 50]]

A delivery service has two types of packages: standard and express. In one week, they delivered 120 standard packages and 80 express packages. Represent this as matrix K. If in the next week they delivered 100 standard packages and 90 express packages, what is the resulting matrix when you add the deliveries from both weeks?

• [[210, 175]]

• [[220, 170]]

• [[200, 160]]

• [[220, 180]]

A school cafeteria serves two types of meals: vegetarian and non-vegetarian. In one week, they served 150 vegetarian meals and 100 non-vegetarian meals. Represent this as matrix L. If in the next week they served 200 vegetarian meals and 80 non-vegetarian meals, what is the resulting matrix when you subtract the first week's meals from the second week's meals?

• [[50, -20]]

• [[100, 20]]

• [[50, 0]]

• [[150, -20]]