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2/x+3/y+10/z=4, 4/x-6/y+5/z=1, 6/x+9/y-2...

`2/x+3/y+10/z=4`, `4/x-6/y+5/z=1`, `6/x+9/y-20/z=2`

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Using matrices solve the following system of linear equations: {(2x+3y+10z=4),(4x-6y+5z=1),(6x+9y-20z=2):}.

If A=[{:(2,3,10),(4,-6,5),(6,9,-20):}] , find A^(-1) . Using A^(-1) , solve the system of equations : {:((2)/(x)+(3)/(y)+(10)/(z)=2),((4)/(x)-(6)/(y)+(5)/(z)=5),((6)/(x)+(9)/(y)-(20)/(z)=-4):}

6x-9y-20z=-4 4x-15y+10z=-1 2x-3y-5z=-1

x+y+z=4 2x-y+z=-1 2x+y-3z=-9

The equations 2x-3y+6z=4, 5x+7y-14z=1 3x+2y-4z=0, have

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =

4x + 3y + 2z =1 x-y + 3z = 4 2x + 5y - 4z = 6 has n solution than n =

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1

MODERN PUBLICATION-DETERMINANTS-Miscellaneous Exercise on Chapter 4
  1. Prove that the determinant |{:(x,sintheta,costheta),(-sintheta,-x,1),(...

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  2. Without expanding the determinant , prove that |{:(a, a^(2),bc),(b,b...

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  3. Ecaluate [{:(cosalphacosbeta,cosalphasinbeta,-sinalpha),(-sinbeta,co...

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  4. If a, b and c are real numbers, and Delta=|b+cc+a a+b c+a a+bb+c a+bb+...

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  5. Solve the equation |x+a xxxx+a xxxx+a|=0, a!= 0

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  6. Prove that |a^2b c a c+c^2a^2+a bb^2a c a bb^2+b cc^2|=4a^2b^2c^2 .

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  7. If A-^1=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^(-...

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  8. Let A=[{:(1,-2,1),(-2,3,1),(1,1,5):}]. Verify that ltbtgt (i) [adjA]^...

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  9. Evaluate: [[x,y,x+y],[y,x+y,x],[x+y,x,y]]

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  10. Evaluate the following: |[1,x,y],[1, x+y, y],[1, x, x+y]|

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  11. Using peoperties of determinants in questions 11 to 15, prove that : ...

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  12. Using properties of determinants. Prove that |xx^2 1+p x^3y y^2 1+p y^...

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  13. Using properties of determinants, prove the following: |3"a"-"a"+"...

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  14. Show that |1 1+p1+p+q2 3+2p1+3p+2q3 6+3p 106 p+3q|=1.

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  15. Show that |[sinalpha, cosalpha, cos(alpha+delta)],[sinbeta, cosbeta, ...

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  16. 2/x+3/y+10/z=4, 4/x-6/y+5/z=1, 6/x+9/y-20/z=2

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  17. Choose the correct answer in questions 17 to 19: If a, b, c are in ...

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  18. Choose the correct answer in questions 17 to 19: If x, y, z are non...

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  19. Let A=[(1,sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], w...

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