|[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2)...

`|[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(2),6^(2)],[4^(2) ,5^(2), 6^(2) ,7^(2)]|`

1)618

2)36

3)12

4)0

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The value of Delta=|(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)| is :

Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (ii) [(1),(2),(3)][(2,3,4)] (iii) [(1,-2),(2,3)][(1,2,3),(2,3,1)] (iv) [(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)] (v) [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)] (vi) [(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]

If 2^(3)+4^(3)+6^(3)+.. .+(2 n)^(3)=k n^(2)(n+1)^(2) then k=

If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .

In a graph Sheet Plot each pairs of points, join them by line segments. (i) (2,5), (4,7) (ii) (-3,5), (-1,7) (iii) (-3,-4), (2,-4) (iv) (-3,-5), (2,-5) (v) (4,-2), (4,-3) (vi) (-2,4), (-2,3) (vii) (-2,1), (-2,0) (viii) (4,7), (4,-3) (ix) (4,-2), (2,-4) (x) (4,-3, (2,-5) (xi) (2,5), (2,-5) (xii) (-3,5), (-3,-5) (xiii) (-3,5), (2,5) (xiv) (-1,7), (4,7)

Evaluate: |(2,4,5),(5,7,3),(2,4,5)|

Examine each of the following relations given below and state in each case, giving resons whether it is function or not? (i) R={(2,1), (3,1), (4,2)}, (ii) R={(2,2), (2,4) ,(3,3),(4,4)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

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Inverse [ (1,2,3),(2,3,4),(3,4,6)] is :

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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK

The factors of |[x,a,b],[a,x,b],[a,b,x]|are
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If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...
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|[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(...
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The value of [[a,b,c,d],[-a,b,c,d],[-a,-b,c,d],[-a,-b,-c ,d]] is
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The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=
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The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is
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If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...
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The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :
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If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...
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If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...
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If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then
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Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...
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Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...
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If A+B are square matrices of size nxxn such that A^(2) - B^(2) = (A-...
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Let A = ((1,2),(3,4)) and B = ((a,0),(0,b)), a b in N . Then :
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Let A= [[5,5 alpha, alpha],[0 ,alpha,5 alpha ],[0,0,5]] |A^(2)|=25, t...
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Let A = [[1,2],[0,1]]. Then A^(n) =
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If [[2+x,3,4],[1,-1,2],[x,1,-5]] is singular matrix then x is
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For the matrix A=[[1,1,0],[1,2,1],[2,1,0]] which is correct?
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