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There are 2 families A and B. There are ...

There are 2 families A and B. There are 4 men, 6 women and 2 children is family A, and 2 men, 2 women and 4 children in family B. The recommend daily amount of calories is 2400 for men, 1900 for women, 1800 for children and 45 grams of proteins for men, 55 grams for women and 33 grams for children. Represent the above information using matrix. Using matrix multiplication, calculate the total requirement for calories and proteins for each of the two families. What awareness can you create among people about the planned diet from this question?

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To solve the problem step by step, we will represent the data in matrices and perform matrix multiplication to find the total requirements for calories and proteins for each family. ### Step 1: Represent the Data in Matrices 1. **Family Composition Matrix (N)**: - Family A: 4 men, 6 women, 2 children - Family B: 2 men, 2 women, 4 children ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If A is a square matrix, using mathematical induction prove that (A^T)...

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  2. If A and B are square matrices of the same order such that A B=B A , t...

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  3. There are 2 families A and B. There are 4 men, 6 women and 2 children ...

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  4. If A=[-1 2 3]a n dB=[-2-1-4], verify that (A B)^T=B^TA^Tdot

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  5. If: [x y5x z+6y^2+1]=[8w0 6], then find the values of x , y , z and w

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  6. The sales figure of two car dealers during January 2013 showed that ...

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  7. If A^T=[3 4-1 2 0 1]a n dB=[-1 2 1 1 2 3], find A^T-B^T

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  8. If l1,""""m1,""""n1 and l2,""""m2,""""n2 are the direction cosines ...

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  9. Construct a2xx3 matrix A=[a(i j)] whose elements are given by a(i j)...

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  10. Construct a3x2m a t r i xA=[a(i j)] whose elements are given by a(i j...

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  11. For what values of x and y such that matrices A and B are equal ? ...

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  12. If [[x-y, z],[2x-y,omega]]=[[-1, 2],[ 4 ,7]],fin d x , y , z ,omegado...

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  13. Construct a3x4m a t r i cA=[a(i j)] whose elements are given by a(i j)...

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  14. If [x-y2x+z2x-y3z+w]=[-1 5 0 13],fin d ,xy,z,w.

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  15. Find the values of x , y , za n da which satisfy the matrix equation [...

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  16. In a certain city there are 30 colleges. Each college has 15 peons, 6 ...

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  17. If A=[1-1 2 3],B=[2 1 1 0],p rov et h a t(A+B)^2!=A^2+2A B+B^2

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  18. Find a matrix X such that 2A+B+X=0 , where A= [-1 2 3 4],B=[3-2 1 5] ...

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  19. If X and Y are 2xx2 matrices, then solve the following matrix equat...

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  20. If A=[[alpha, 0], [1, 1]] and B=[[1 ,0],[ 5 ,1]], find the values of a...

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