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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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The correct Answer is:
`A:24600` calories, 556 gm proteins
`B:15800` calories : 332 gm proteins
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MODERN PUBLICATION-MATRICES-Exercise 3 (d) Long Answer Type Questions I
  1. If A=[3 1-1 2] , show that A^2-5A+7I=O . Use this to find A^4

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  2. Let A ={:[(2,0,1),(2,1,3),(1,-1,0)] and f(x) = x^(2) -5x + 6 , find f(...

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  3. यदि A= [[2,0,1],[2,1,3],[1,-1,0]], तब A^(2) - 3A + 2I का मान ज्ञात क...

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  4. if A=[{:(3,1),(-1,2):}],show that A^(2)-5A+7I=0.

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  5. If M=[(7,5),(2,3)], then verify the equation : M^(2)-10M+11I(2)=O

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  6. If A+l={:[(2,2,3),(3,-1,1),(4,2,2)]:} then show that A^(3)-23A-40l=0

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  7. If A=[1 0 2 0 2 1 2 0 3] , prove that A^3-6A^2+7A+2I=0

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  8. If A=[{:(-1,2),(3,1):}], find f(A), where f(x)=x^(2)-2x+3.

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  9. If A=[(3,1),(-1,2)], then find f (A), where f(x)=x^(2)-5x+7.

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  10. If A=[1 0-1 7] , find k such that A^2-8A+k I=O .

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  11. If A A=[3-2 4-2]and I=[1 0 0 1], find k so that A^2=k A-2I.

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  12. If A=[(0,3),(-7,5)] and I=[(1,0),(0,1)], then find 'k' so that k^(2)=5...

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  13. Solve system of linear equations, using matrix method, x y" "+" "2...

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  14. Let A=[0 1 0 0]show that (a I+b A)^n=a^n I+n a^(n-1)b A, where I is t...

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  15. A matrix X has a+b rows and a+2 columns while the matrix Y has b+1 ...

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  16. Let A=[(-1,-4),(1,3)], prove by Mathematical Induction that A^(n)=[(1-...

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  17. If A=[[costheta,-sintheta],[sintheta,costheta]] then show that A^n = [...

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  18. If A=[costhetaisinthetaisinthetacostheta], then prove by principal of ...

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  19. A trust fund has Rs 30,000 that must be invested in two different t...

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

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