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Find the determinant of the matrix [{...

Find the determinant of the matrix
`[{:(a,b,c),(b,c,a),(c,a,b):}]`

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|(a,b,c),(b,c,a),(c,a,b)|=

Find the determinant of the matrix [{:(a,h,g),(h,b,f),(g,f,c):}]

Find the determinant of the matrix [(a,h,g),(h,b,f),(g,f,c)]

Without expanding the determinant, prove that |{:(1,bc,b+c),(1,ca,c+a),(1,ab,a+b):}|=|{:(1,a,a^2),(1,b,b^2),(1,c,c^2):}|

Without expanding the determinant , prove that |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}|

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

If a, b,c are distinct positive real numbers, then the vlaue of the determinant , |(a,b,c),(b,c,a),(c,a,b)| .

|(a+b,c,c),(b,a+c,b),(a,a,b+c)|=

Without expanding the determinant show that |(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|=2|(a,b,c),(b,c,a),(c,a,b)|

|(a,b,c),(a-b,b-c,c-a),(b+c,c+a,a+b)|=

SRISIRI PUBLICATION-MATRICES-SAPAR PAPER QUESTIONS
  1. IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respec...

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  2. IF A=[{:(7,-2),(-1,2),(5,3):}],B=[{:(-2,-1),(4,2),(-1,0):}] then find ...

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  3. Find the determinant of the matrix [{:(a,b,c),(b,c,a),(c,a,b):}]

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  4. Find the inverse of A=[{:(2,-3),(4,6):}]

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  5. Find the rank of [{:(1,2,6),(2,4,3):}]

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  6. IF A=[{:(1,1,3),(5,2,6),(-2,-1,-3):}] then find A^3.

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  7. IF A=[{:(1,-2,3),(0,-1,4),(-2,2,1):}] then find (A')^-1.

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  8. Find the rank of A=[{:(0,1,1,-2),(4,0,2,5),(2,1,3,1):}] using elementa...

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  9. By using Cramer's rule solve 2x-y+3z=9,x+y+z=6,x+y+z=2.

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  10. Solve the following system of equations by using Cramer's rule. x-y+...

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  11. By using Cramer's rule solve 2x-y+3z=9,-x+2y+z=4,3x+y-4z=0.

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  12. By using Cramer's solve 5x-6y+4z=15,7z+4y-3z=19,2x+y+6z=46.

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  13. By using Cramer's solve x+y+z=1,2x+2y+3z=6,x+4y+9z=3

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  14. By using Cramer's solve x+y+z=9,2x+5y+7z=52,2x+y-z=0

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  15. Solve the following equations by using Matrix inversion method. 2x-y...

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  16. Solve the equations x+y+3z=5,4x+2y-z=0,-x+3y+z=5 by matrix inversion m...

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  17. x+y+z=1,2x+2y+3z=6,z+4y+9z=3, by Gauss-Jordan method.

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  18. Solve the equations x-3y-8z=-10,3x+y-4z=0,2x+5y+6z=13, by Gauss -Jorda...

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  19. Solve 2x+6y+11=0,6x+20y-6z+3=0,6y-18z+1=0, by Gauss -Jordan method.

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  20. Examine the consistency of the following systems of equations x+y+z=1...

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