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If three numbers are added , their sum i...

If three numbers are added , their sum is 2 . If two
times the second number is subtracted from the sum
of first and third numbers we get 8 and if three
times the first number added to the sum of second
and third numbers we get 4 . Find the numbers using matrices .

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The correct Answer is:
The required number are 1, -2 and 3.
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If three numbers are added the sum is '15'. If the second number is subtracted from the sum of first and third number then we get '5' and if twice the first number is added to the second and the third number is subtracted from the sum we get '4'. Use matrices to find the numbers.

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES
  1. If A=[{:(1," 2",-1),(3,-2," 5"):}] , then R(1) harr R(2) and C(1) ra...

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  2. Three chairs and two tables costs Rs. 1850. Five chairs and three tabl...

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  3. v36.3

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  4. Find the adjoint of matrix A = [(2,0,-1),(3,1,2),(-1,1,2)]

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  5. Find the matrix X such that {:((1,2,3),(2,3,2),(1,2,2)):} X = {:((2,2...

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  6. If A=[[sectheta, tantheta, 0], [tantheta, sectheta, 0], [0, 0, 1]], th...

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  7. Transform [(1,2,4),(3,-1,5),(2,4,6)] into an upper triangular matrix b...

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  8. If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)], the...

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  9. Using elementary transformations, find the inverse of the matrix[2-3 ...

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  10. The inverse of the matrix [(1,0,0),(3,3,0),(5,2,-1)] is

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  11. Solve the following equations by the invers method : x + y + z = ...

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  12. If three numbers are added , their sum is 2 . If two times the seco...

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  13. Find the inverse of the matrix {:((1,0,1),(0,2,3),(1,2,1)):} by using...

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  14. If A = [(x,0,0),(0,y,0),(0,0,z)] is a non-singular matrix, then find A...

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  15. Find the inverse of A =[[costheta,-sintheta,0],[sintheta,costheta,0],[...

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  16. If A = [(1,1),(1,2)], B = [(4,1),(3,1)], and C = [(24,7),(31,9)], then...

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  17. If A = {:((1,-1,2),(3,0,-2),(1,0,3)):}, verify that A (adj A) = |A|* I...

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  18. If A = [(2,3),(1,2)], B = [(1,0),(3,1)], find AB and (AB)^(-1)

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  19. Solve the following system of equations by using matrix inversion meth...

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  20. The cost of 4 dozen pencils, 3 dozen pens and 2 dozen erasers is Rs. ...

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