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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
- If the matrix A is both symmetric and skew symmetric, then
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- If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to
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- Matrices A and B will be inverse of each other only if
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- If A, B are symmetric matrices of same order, then AB-BA is a
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- If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...
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- Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...
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- If X and Z are of order 2xx n and 2xx p respectively and n=p then, 7 X...
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- Prove that {:|( b+c,a,a), ( b,c+a,b),( c,c,b+a) |:} = 4abc
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- Delta=[[1,1+ac,1+bc],[1,1+ad,1+bd],[1,1+ac, 1+bc]]
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- If (1)/(a)+(1)/(b)+(1)/(c)=0 then |[1+a, 1, 1 ],[1, 1+b, 1],[1,1,1+c]|...
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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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- The value of the determinant : |(1,1,1),(""^mC1,""^(m+1)C1,""^(m+2)C...
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- If a , b, c are all different from zero and |(1+a,1,1),(1,1+b,1),(1,...
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- |[77,78,79],[76,75,74],[75,74,73]|=
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- Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...
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- If D=[[1,a,b],[1,b,c],[1,c,a]], then [[a,b,c],[b,c,a],[1,1,1]]=
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- The value of the determinant |[a1, la1+mb1, b1],[a2, la2+mb2, b2],[a3,...
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- If omega is a complex cube root of unit, then the value of the determi...
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- If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...
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- If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...
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