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Given A=[{:(1 " "-1 " "1),(1 " "-2 ...

Given `A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3):}] and B=[{:(-4 " "4" "4),(-7 " "1 " "3),(5 " "-3 " "-1):}]`, find AB and use this result in solving the following system of equation
x-y+z=4,
x-2y-2z=9
2x+2y+3z=1

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The correct Answer is:
`AB=8I`; `x=3`, `y=-2`, `z=-1`
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MODERN PUBLICATION-DETERMINANTS-Exercise 4(h) (LONG ANSWER TYPE QUESTIONS)
  1. Solve the following system of equations : {:((1)/(x)-(1)/(y)+(2)/(z)...

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  2. If A=(2-3 5 3 2-4 1 1-2), find A^(-1) . Using A^(-1) solve the fol...

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  3. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  4. If A=[[3,2,1],[4,-1,2],[7,3,-3]] then find A^(-1) and hence solve the...

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  5. If A=[{:(3,1,2),(3,2,-3),(2,0,-1):}] , find A^(-1). Hence, solve the s...

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  6. If A=[{:(1,1,1),(1,0,2),(3,1,1):}], find A^(-1). Hence, solve the syst...

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  7. If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...

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  8. Given that A=[{:(1,-1,0),(2,3,4),(0,1,2):}] and B=[{:(2,2,-4),(-4,2,-4...

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  9. Given A=[{:(1 " "-1 " "1),(1 " "-2 " "-2),(2 " "1 " "3)...

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  10. Use product [1-1 2 0 2-3 3-2 4]\ \ [-2 0 1 9 2-3 6 1-2] to solve th...

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  11. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

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  12. Solve the following system of homogeneous linear equations by matri...

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  13. Solve following system of homogeneous linear equations: x+y-2z=0,\ ...

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  14. Solve the following system of homogeneous equations: x+y+z=0 x-2y+z=0...

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  15. A school wants to award its students for the value of honesty, regular...

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  16. Two schools A and B want to awad their selected students on the values...

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  17. Two schools P and Q want to award their selected students on the value...

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  18. The sum of three numbers is 6. If we multiply third number by 3 and...

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  19. The sum of three numbers is 6. Twice the third number when added to th...

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  20. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost...

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