Show that|((a+b)^(2),(a-b)^(2),ab),((b+c...

Show that`|((a+b)^(2),(a-b)^(2),ab),((b+c)^(2),(b-c)^(2),bc),((c+a)^(2),(c-a)^(2),ca)|`

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Show that |{:(bc-a^(2),,ca-b^(2),,ab-c^(2)),(ca-b^(2),,ab-c^(2),,bc-a^(2)),(ab-c^(2),,bc-a^(2),,ca-b^(2)):}| |{:(a^(2),,c^(2),,2ca-b^(2)),(2ab-c^(2),,b^(2),,a^(2)),(b^(2),,2ac-a^(2),,c^(2)):}|.

prove that |{:((b+c)^(2),,bc,,ac),(ba,,(c+a)^(2),,cb),(ca,,cb,,(a+b)^(2)):}| |{:((b+c)^(2),,a^(2),,a^(2)),(b^(2),,(c+a)^(2),,b^(2)),(c^(2),,c^(2),,(a+b)^(2)):}| =2abc (a+b+c)^(3)

If a^(2) + b^(2) + c^(3) + ab + bc + ca le 0 for all, a, b, c in R , then the value of the determinant |((a + b +2)^(2),a^(2) + b^(2),1),(1,(b +c + 2)^(2),b^(2) + c^(2)),(c^(2) + a^(2),1,(c +a +2)^(2))| , is equal to

Show that |(b+c,a,a^(2)),(c+a,b,b^(2)),(a+b,c,c^(2))|=(a+b+c)(a-b)(b-c)(c-a)

Show that |(0,a,c),(a,0,b),(c,b,0)|^(2)=|(2ac,ab,bc),(ab,-a^(2),-ac+b^(2)),(bc,-ac+b^(2),-c^(2))|

Prove that |(a^(2),bc,ac+c^(2)),(a^(2)+ab,b^(2),ac),(ab,b^(2)+bc,c^(2))|=4a^(2)b^(2)c^(2).

Show that (a^(2)+b^(2),c^(2)),(b^(2)+c^(2),a^(2)) ,and (c^(2)+a^(2),b^(2)) are collinear

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If a,b and c are non- zero real number then prove that |{:(b^(2)c^(2),,bc,,b+c),(c^(2)a^(2),,ca,,c+a),(a^(2)b^(2),,ab,,a+b):}| =0

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

Show that|((a+b)^(2),(a-b)^(2),ab),((b+c)^(2),(b-c)^(2),bc),((c+a)^(2)...
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If a(ij)=i^(2)-j and A=(a(ij))(2xx2)is:
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Solve|(x-1,2),(3,x-2)|=0
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If 2x+[(3,1),(5,-3)]=[(-1,5),(3,-1)]then x is
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If A=[(3,2,1),(0,4,2),(1,2,3)]and B=[(3,2,0),(4,8,0),(-1,6,2)],then
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If the points (2,-4)(6,2)(4,x) are collinear than x is:
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If the square matrix |(alpha,Beta),(Beta,-alpha)|is a unit matrix of o...
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A=[(0,-2,1),(2,0,-4),(-1,0,0)]then A is
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If A=[(2x,2y,2z),(2a,2b,2c),(2p,2q,2r)]and Delta =[(x,y,z),(a,b,c),(p,...
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If A+2I=[(6,2),(3,-4)],then A(A+I)=
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Find the matrix A if[(1,2),(0,1)]A=[(6,1),(2,1)]
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Find the value of x for which A=[(e^(2x+1),e^(x-2)),(e^(2-x),e^(x-7))]...
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If A is (a(ij))(mxxn),B=(b(ij)(nxxp)),C=(c(ij)(pxxq))Then (ABC)^(T) wi...
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Ifr A is a skew symmetrix matrix of order 3 and B is column matrix of ...
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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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