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|(0,1,1),(1,0,1),(1,1,0)|=...

`|(0,1,1),(1,0,1),(1,1,0)|=`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -TEXTUAL EXERCISES (EXERCISE -3( d)
  1. Find the determinant value of the following matrices. [(4,5),(-6,2)]

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  2. Find the determinant value of the following matrices. [(i,0),(0,-i)]

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  3. |(0,1,1),(1,0,1),(1,1,0)|=

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  4. |(1,4,2),(2,-1,4),(-3,7,-6)|=

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  5. Find the determination of the following matrices. [{:(2,-1,4),(4,-3,...

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  6. Find the determinant value of the following matrices. [(1,2,-3),(4,-...

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  7. |(a,h,g),(h,b,f),(g,f,c)|=

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

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  9. Find the determinant of the matrix [(1^(2),2^(2),3^(2)),(2^(2),3^(2),4...

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  10. IF A=[{:(1,0,0),(2,3,4),(5,-6,x):}] and det A=45 then find x.

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  11. Show that |{:(bc,b+c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)

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  12. |(b+c, c+a, a+b),(a+b, b+c, c+a),(a, b,c)]=a^(3)+b^(3)+c^(3)-3abcఅని చ...

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  13. Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz

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  14. |(a, a^(2),1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0, |(a, a^(2)...

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  15. Without expanding the determinant, prove that: (i) |{:(alpha, alpha^...

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  16. Without expanding the determinant, prove that: |{:(alpha xi, beta psi...

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  17. Without expanding the determinant, prove that: |{:(1, beta gamma, be...

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  18. If Delta(1)=|{:(a(1)^(2)+b(1)+c(1),a(1)a(2)|b(2)|c(2),a(1)a(3)+b(3)+c(...

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  19. Delta1=|(1,cos alpha, cos beta),(cos alpha , 1, cos gamma),(cos beta, ...

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  20. Show that |{:(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b):}|=2(a+b+c)^3

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