|((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2...

`|((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2),(y-1/y)^(2),1),((z+1/z)^(2),(z-1/z)^(2),1)|`

x+y+z

xyz

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if x=31,y=32 and z=33 then the value of |{:((x^(2)+1)^(2),,(xy+1)^(2),,(xz+1)^(2)),((xy+1)^(2),,(y^(2)+1)^(2),,(yz+1)^(2)),((xz+1)^(2),,(yz+1)^(2),,(z^(2)+1)^(2)):}|" is " "____"

Prove that the value of each the following determinants is zero: |[(a^x+a^(-x))^2,(a^x-a^(-x))^2 ,1],[(b^y+b^(-y))^2,(b^y-+b^(-y))^2 ,1],[(c^z+c^(-z))^2,(c^z-c^(-z))^2, 1]|

{:[( x,x^(2) , 1+ px^(3) ),( y,y^(2) , 1+ py^(3)),( z,z^(2) , 1+pz^(3)) ]:} =( 1+pxyz ) ( x-y) ( y-z ) (z-x) , where p is any scalar .

Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(c-z)^2|= |(1+a x)^2(1+b x)^2(1+c x)^2(1+a y)^2(1+b y)^2(1+c y)^2(1+a z)^2(1+b z)^2(1+c z)^2|= 2(b-c)(c-c)(a-b)xx(y-z)(z-x)(x-y)dot

Solve : (1)/(2x)+(1)/(4y)-(1)/(3z)=(1)/(4),(1)/(x)=(1)/(3y),(1)/(x)-(1)/(5y)+(4)/(z)=2 (2)/(15)

If |x^n x^(n+2)x^(n+4)y^n y^(n+2)y^(n+4)z^n z^(n+2)z^(n+4)|=(1/(y^2)-1/(x^2))(1/(z^2)-1/(y^2))(1/(x^2)-1/(z^2)) then n is __________.

Evaluate |{:(.^(x)C_(1),,.^(x)C_(2),,.^(x)C_(3)),(.^(y)C_(1),,.^(y)C_(2),,.^(y)C_(3)),(.^(x)C_(1),,.^(z)C_(2),,.^(z)C_(3)):}|

it x_(1)^(2) +2y_(1)^(2)+3z_(1)^(2)=x_(2)^(2)+2y_(2)^(2)+3z_(2)^(2)=x_(3)^(2)+2y_(3)^(2)+3z_(3)^(2)=2 " and " x_(2)x_(3) +2y_(2)y_(3)+3z_(2)z_(3)=x_(3)x_(1)+2y_(3)y_(1)+3z_(3)z_(1)=x_(1)x_(2)+2y_(1)y_(2)+3z_(1)z_(2)=1 Then find the value of |{:(x_(1),,y_(1),,z_(1)),(x_(2),,y_(2),,z_(2)),(x_(3),,y_(3),,z_(3)):}|

Show that |(1,1,1),(x,y,z),(x^(2),y^(2),z^(2))|=(x-y)(y-z)(z-x)

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)

If A=[(2,4,-5),(3,1,-2),(0,2,-3)],find the coefficient of order 3:
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If A and B are square matrix of same order then (A-B)^(T) is:
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|((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2),(y-1/y)^(2),1),((z+1/z)^(2),...
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Evaluate |(45,71,26),(35,-21,14),(77,50,40)|:
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if|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc).Then k is:
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The area ofDelta with vertices (-2,-3),(3,2),and (-1,x).Then x is:
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Which of the followinf is not true about the matrix[(5,0,0),(0,0,0),(0...
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The matrix is [(4,3,1),(0,2,3),(0,0,-2)]is:
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If |(3x+4y,-3),(2,x+2y)|=|(7,-3),(2,3)|then x and y are
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The value of determinent |(25,20,45),(-10,10,0),(2,3,5)|is
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If A=(a(ij))(2xx3),B=(b(ij))(2xx3)then the order of AB will be
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If A=(a(ij))(2xx2).Where a(ij) is given by (i-2j)^(2)then A is:
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If A=[(1,2),(0,1)]then A^(4) is:
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If A is a square matrix such that A^(2)=A,then the value of A+(A-I)^(4...
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If A and B are symmetric matrices of same order than AB-BA is a:
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Let A=|(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3)c(3))|then the cofa...
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The area of traingle whose vertices are (0,0),(3,4),and(2,5) is :
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Find the odd man out:
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Find the odd man out:
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Find the correct statement:
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