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

`|(b+c, c+a, a+b),(a+b, b+c, c+a),(a, b,c)]=a^(3)+b^(3)+c^(3)-3abc`అని చూపండి.

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`a^(3) + b^(3) + c^(3) - 3abc`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATRICES -TEXTUAL EXERCISES (EXERCISE -3( d)

|(a,b,c),(b,c,a),(c,a,b)|=
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Find the determinant of the matrix [(1^(2),2^(2),3^(2)),(2^(2),3^(2),4...
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IF A=[{:(1,0,0),(2,3,4),(5,-6,x):}] and det A=45 then find x.
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Show that |{:(bc,b+c,1),(ca,c+a,1),(ab,a+b,1):}|=(a-b)(b-c)(c-a)
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|(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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Prove that |{:(y+z,x,x),(y,z+x,y),(z,z,x+y):}|=4xyz
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|(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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Without expanding the determinant, prove that: (i) |{:(alpha, alpha^...
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Without expanding the determinant, prove that: |{:(alpha xi, beta psi...
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Without expanding the determinant, prove that: |{:(1, beta gamma, be...
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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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Delta1=|(1,cos alpha, cos beta),(cos alpha , 1, cos gamma),(cos beta, ...
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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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Show that |{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(...
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Show that |{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}|=(a-1)^3
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Show that |{:(a,b,c),(a^(2),b^(2),c^(2)),(a^(2),b^(3),c^(3)):}|=abc(a-...
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Show that A=|{:(-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c):}|=4(a+b)(b+c...
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Show that |{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0
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Show that |{:(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab):}|=0
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Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2
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