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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- The determinant : |(cos(alpha+beta),-sin(alpha+beta),cos2beta),(sinalp...
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- If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...
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- If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is
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- If alpha=omega,b=omega^2,c=i, then the value of : |(a,a+2b,a+2b+3c)...
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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 :
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- If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...
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- If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=
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- If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...
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- The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...
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- If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...
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- |[x,1,y+z],[y,1,z+x],[z,1,x+y]|=
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- If x ne 0 and |[1,x,2x],[1,3x,5x],[1,3,4]|=0 then x=
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- The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin ...
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- If a ne 6, b , c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0, then abc =
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- If d is the determinant of a square matrix A of order n, then the dete...
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- If |[cos(A+B), -sin (A+B), cos 2B],[sinA,cosA,sinB],[-cosA,sin A,cos...
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- |[1990,1991,1992],[1991,1992,1993],[1992,1993,1994]|=
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- |log e,log e^2,log e^3],[log e^2,log e^3,log e^4],[log e^3,log e^4,log...
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- If A=[[a1,b1,c1],[a2,b2,c2],[a3,b3,c3]] and B=[[ c1,c2,c2],[a1,a2,a3]...
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- If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...
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