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if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[...

if
`A=[[1,-1,2],[0,2,-3],[3,-2,4]]` `B=[[-2,0,1],[9,2,-3],[6,1,-2]]`
Using
`A^-1` solve the system of linear equation given below: x-y+2z=1, 2y-3z=1, 3x-2y+4z=2

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Use product [[1,-1,2],[0,2,-3],[3,-2,4]][[-2,0,1],[9,2,-3],[6,1,-2]] to solve the system of equations x-y+2z=1 2y-3z=1 3x-2y+4z=2

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Let A=[[1,-1,1],[2,1,-3],[1,1,1]] Using A^-1 solve the system of equations x-y+z=4 2x+y-3z=0 x+y+z=2

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If A= [[2,-3,5],[3,2,-4],[1,1,-2]] find A^(-1) Using A^(-1) solve the system of equations:2x-3y+5z=11 3x+2y-4z=-5 x+y-2z=-3

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If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equations 2x-3y+5z=16 3x+2y-4z=-4 x+y-2z=-3

If A=[[2 , -3 , 5],[ 3, 2, -4],[ 1, 1, -2]] , find A^(-1) . Using A^(-1) solve the system of equations. 2 x-3 y+5 z=11 , 3x+2y-4 z=-5, x+y-2z =-3

V PUBLICATION-DETERMINANT-QUESTION BANK
  1. If a, b, c are positive and unequal show that value of the determinant...

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  2. Show that Delta=|[(y+z)^2, x y , z x],[ x y, (x+z)^2, y z],[ x z...

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  3. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

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  4. Prove that Delta=|[a+b x, c+d x, p+q x],[ a x+b, c x+d, p x+q],[ ...

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  5. Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...

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  6. Without expanding the determinant, Prove that |[a,a^2, bc],[b,b^2,ca...

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  7. Evaluate |[cos alpha cos beta, cos alpha sin beta, -sin alpha],[ -s...

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  8. If a,b,c are real numbers and abs[[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+...

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  9. Solve the equation |[x+a,x,x],[x,x+a,x],[x,x,x+a]|=0, a ne0

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  10. Prove that |[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^...

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

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  12. Let A=[[1,-2,1],[-2,3,1],[1,1,5]] verify that (A^(-1))^(-1)=A

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  13. Evaluate |[x, y, x+y],[ y, x+y, x],[ x+y, x, y]|

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  14. evaluate | [1,x,y],[1,x+y,y],[1,x,x+y] |

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  15. Using properties of determinants, prove that |[alpha, alpha^2, beta+g...

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  16. Using properties of determinants, prove that |[3a,-a+b,-a+c],[-b+a,3...

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  17. Using properties of determinants, prove that |[1,1+p,1+p+q],[2,3+2p,...

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  18. Using properties of determinants, prove that |[sinalpha,cosalpha,cos...

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  19. Consider a system of linear equations which is given below, 2/x+3/...

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  20. If a,b,c are in A.P., then the determinant |[x+2, x+3, x+2a],[x+3,x+...

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