|{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=....

`|{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........`

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4 !

3 !

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The relation S on set {1,2,3,4,5} is S = {(1,1),(2,2),(3,3),(4,4),(5,5)} . The S is .........

|{:(5^2,5^3,5^4),(5^1,5^2,5^3),(5^3,5^4,5^4):}|=.......

Using cofactors of elements of second row evaluate |{:(1,-3,2),(4,-1,2),(3,5,2):}|"

Compute the indicated products : (1) [{:(3,-1,4),(2,3,1):}][{:(1,3,4),(2,1,0),(-3,2,3):}] (2) [{:(1,3),(2,1):}][{:(4),(-1):}] (3) [{:(1,4,2),(5,-2,3):}][{:(2,-4),(1,-3),(4,0):}] (4) [1" "2," "3][{:(2),(4),(6):}] (5) [{:(2),(4),(6):}][1" "2," "3]

If A=[{:(1,-2,3),(-4,2,5):}]andB=[{:(2,3),(4,5),(2,1):}] , then find AB ,BA .Show that ABneBA .

A=[{:(0,1,2),(1,2,3),(3,a,1):}]and A^(-1)=[{:(1/2,-1/2,1/2),(-4,3,c),(5/2,-3/2,1/2):}] then a=...... and c= .........

If |{:(3,5,2),(1,4,7),(2,1,0):}|=k|{:(3,5,4),(1,4,14),(4,2,0):}| then k=……

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 A=[{:(2,3),(-4,5):}]andB=[{:(1,-2),(3,4):}]

KUMAR PRAKASHAN-DETERMINANTS -Textbook based MCQs

-1lexlt0,0leylt1,1lezlt2 and [" " ] is greatest interger function then...
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If |{:(3,5,2),(1,4,7),(2,1,0):}|=k|{:(3,5,4),(1,4,14),(4,2,0):}| then ...
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|{:(1!,2!,3!),(2!,3!,4!),(3!,4!,5!):}|=..........
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The area of triangle with vertices (3,2),(8,12) and (11,8) is ……….
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The sum of the cofator of the elements in second column in |{:(7,9,1),...
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|{:(sinx,cosx),(sinx,sinx):}|=|{:(cosx,cosx),(cosx,sinx):}|,x in(0,pi/...
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The equations of line passing through (-7,8) and (5,8) is ………
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If |{:(x,4,10),(5,2,5),(7,3,x):}|=0 then x in …………
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D=|{:(a^2+2a,2a+1,1),(2a+1,a+2,1),(3,3,1):}| then,
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The given system of equations x-ky-z=0, kx-y-z=0, x+y-z=0 has non zero...
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If Delta1=|{:(x,b,b),(a,x,b),(a,a,x):}|and Delta2=|{:(x,b),(a,x):}| ar...
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If A is a square matrix and |A| = 2 then |A|^n = ………. . Where n is pos...
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If A is a square matrix and A^2=A" then |A|=……..
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|{:(a,-b,a-b),(b,c,b-c),(2,1,0):}|=0 then a,b,c are in …………..
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|{:(2,3,4),(4x,6x,8x),(5,7,8):}|=......
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The value of |{:(2008,2009),(2010,2011):}| is …..
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|{:(x,1,y+z),(y,1,z+x),(z,1,x+y):}|=.......
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|{:(sin40^@,-cos40^@),(sin50^@,cos50^@):}|=.......
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If D=|{:(2,3,1),(5,-1,2),(7,4,-1):}| , performing R(12(-1) on D then D...
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|{:(5^2,5^3,5^4),(5^1,5^2,5^3),(5^3,5^4,5^4):}|=.......
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