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An amount of Rs 7000 is invested in thre...

An amount of Rs 7000 is invested in three types of investments x,y and z the rate of 3%, 4%, and 5% interst respectively. The total annual income is Rs 280. If the combined income from x and y is Rs 80 more than that from z, then
(i) Represent the above situation in form of linear equations.
(ii) Is it possible to frame the given linear equations in the form of matrix to obtain the three values x, y and z using matrix multiplication? If yes, find. (iii) Which value is more beneficial to invest?

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FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
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  2. Use product {:[( 1,-1,2),( 0,2,-3),( 3,-2,4) ]:} {:[( -2,0,1),(9,2,-3...

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  3. An amount of Rs 7000 is invested in three types of investments x,y and...

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  4. If A=({:(2,3,10),(4,-6,5),(6,9,-20):}) find A^(-1). Using A^(-1) solve...

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  5. Solve the following non-homogeneous system of linear equations by dete...

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  6. Solve the following non-homogeneous system of linear equations by dete...

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  7. Solve : (1)/(x)+(2)/(y)-(1)/(z)=1 (2)/(x)+(4)/(y)+(1)/(z)=5 ...

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  8. Solve the following system of linear equaltions, by Gaussian eliminati...

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  9. Verify whether the given system is consistent. If it is consistent, s...

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  10. Examine the consistency of the equations. 2x-3y+7z=5,3x+y-3z=13,2x+1...

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  11. Show that the equations: x+y+z=6,x+2y+3z=14,x+4y+7z=30 are consistent ...

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  12. Discuss the solutions of the system of equations for all values of lam...

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  13. For what values of k, the system of equations kx+y+z=1,x+ky+z=1,x+y+kz...

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  14. Solve the following homogeneous linear equations. x+2y-5z=0,3x+4y+6z...

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  15. For what value of mu the equations. x+y+3z=0,4x+3y+muz=0,2x+y+2z=0 h...

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  16. A=[a(ij)](mxxn) is a square matrix if …………

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  17. Matrices A and B will be inverse of each only if ……………

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  18. If A is an invertible matrix of order 2 thaen det (A)^(-1) is equal to

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  19. Given A=({:(1,-2),(-5,7):}) then A (adj A) =…………..

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  20. The inverse of ({:(2,1),(4,2):}) is ……………

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