CBSE Class 12 Mathematics Matrices and Determinants Worksheet

CBSE Class 12 Mathematics Matrices and Determinants Worksheet Set A

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MATRICES AND DETERMINANTS

1. Assume a hypothetical situation that to promote “Save Environment” awareness a university gives scholarships for those students who take any of the below subjects as an additional subject in first year, second year, third year of graduation. From the table given below form a set of simultaneous equation and check the consistency. Which subject has to be promoted the most and why?

EXPECTED VALUES:

1. Sense of belonging

2. Pollution control

3. About harmful radiation

4. Simple living without electronic gadgets

2. In a legislative assembly election, a political group hired a public relations firm to promote its candidate in 3 ways namely Posters, Pamphlets, Public addressing system.The cost per contract

Number of contracts of each type made by a city X is given as B = (100 500 5000)

Find the amount spent by the city on these ways. Is it a good practice to campaign in such a manner? Suggest an alternative to the above for campaigning.

EXPECTED ALTERNATIVES:

1. Advertise using mass media

2. Through sms

3. There are 2 families A & B. There are 4 men, 6 women and 2 children in family A, 2 men, 2 women and 4 children in family B. The recommended daily allowance for calories is 2400 for men, 1900 for women, 1800 for children and 45gms of proteins for men, 55gms for women and 33gms for children. Represent the above information using matrices. Using matrix multiplication, calculate the total requirement of calories and proteins for each of the 2 families. What awareness can you create among people about the balanced diet?

EXPECTED VALUES:

1. Vegetarianism will help us to control many ailments

2. Should not skip break fast

3. Aerated drinks should be totally avoided

4. Over eating/ eating while watching T.V should be avoided

4. Gaurav donates 3 pens, 2 bags and 1 instrument box worth Rs.41, Dheeraj donates 2 pens, 1 bag and 2 instrument boxes worth Rs29, while Ankur donates 2 pens, 2 bags and instrument boxes to a rural school. Translate the problem into a system of linear equations. Solve & find the cost of each item. By the act of these three people what values do you learn?

EXPECTED VALUES:

1. Sharing

2. Bring happiness to everybody

3. Bridge the gap between the rich and poor

4. Following the motto “giving more than what we take from the society”

5. There are 3 families. Family A consists of 2 men, 3 women and 1 child. Family B has 2 men 1 woman and 3 children. Family C has 4 men, 2 women and 6 Children. Daily expenses of men, women and children are 200,155 and 200 respectively. Only men and women earn and children do not. Using matrix multiplication calculate the daily expenses of each family. What impact does having more children in the family create on the society? Comment.

EXPECTED VALUES:

1. Can’t give better standard of living

2. Cannot educate them

3. Good food, clothes and shelter cannot be given by the government

4. Poverty increases

6. The cost of 4 chocolates, 3 samosas and 2 apples is Rs.60 and that of 2 chocolates, 4 samosas, and 6 apples is Rs.90. The cost of 6 chocolates, 2 samosas, 3 apples is Rs.70. Find the cost of each item by matrix method. What do you think is the healthiest diet? Suggest an item that could replace chocolates and samosas to make the diet healthier?

EXPECTED VALUES:

1. fruits

2. sprouts

3. salads

4. fresh juices

7. Last year 1 packet of tea and 3 packets of sugar together cost Rs.96.This year, the rate of tea increased by 15% and that of sugar by 10%. So, the same amounts of tea and sugar now cost Rs.108.60. Find the rates of sugar and tea per packet last year and this year using matrix method. What do you think is the impact of inflation on family expenses?

EXPECTED VALUES:

1. People in the family has to be educated

2. They should be made skilled laborers

3. Government should take suitable steps to reduce the inflation

4. The benefits of the government schemes should reach the poor people correctly

8. To promote “Compulsory Education” awareness an NGO awards those who take any of the following subjects as additional subjects. From the table given below, form a set of simultaneous equations and solve using matrix method to find the amount given exactly to each subject. Which subject has to be promoted the most and why?

1. Compulsory education upto 14 years

2. Education alone can create a positive impact on the society

3. Young Indian future leaders should not become child laborers

4. Education for all should be motto

5. Education alone can make country more stronger and a super power

9. A part of the monthly expenses of a family is constant while the remaining varies with the price of rice, fuel etc., When the price of rice is Rs 25/Kg the monthly expenses of the family is Rs.1000. when it is Rs 24/Kg the monthly expenses is Rs 980. Find the total monthly expenses of the family when the cost of rice is Rs 35/Kg. Is this family below poverty line? Give some suggestions to improve their standard of living.

EXPECTED VALUES:

1. Government should take suitable steps to reduce the inflation

2. The benefits of the government schemes should reach the poor people correctly

3. Price of essential commodities should be reduced.

4. The corruption menace has to be curbed.