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MODERN PUBLICATION-DETERMINANTS-EXERCISE
- The value of x from the equation {:|(x,2,3),(4,x,1),(x,2,5)|=0 is
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- If A is a square matrix of order 3 such that |adjA|=16, then |A| is
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- If {:|(2,3),(4,5)| = |(x,3),(2x,5)|, then the value of 'x' is ………..
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- The cofactor of a13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is
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- If A= diag (4, 2, 1) then det. A is equal to :
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- If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...
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- If a1,a2,a3,……………….. are in A.P., then the value of: {:|(a1,a2,1),(a...
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- The system of linear equations: 3x+y-z=2,x-z=1 and 2x+2y+az=5 has un...
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- Let I denote the 3xx3 and P be a matrix obtained by rearranging the co...
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- If A is matrix of order 3,such that A(adjA)=10I. Then |adjA|=
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- Without expanding the determinant at any stage, prove that {:|(x+1,x+2...
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- Consider the following statements: (i) If any two rows or coluns of a ...
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- Let A be a square matrix all of whose entries are integers. Which on...
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- Let omega ne 1 be a cube root of unity and S be the set of all non-...
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- Let M and N be two 3xx3 non-singular skew-=symmetric matrices such t...
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- The number of values of k which the linear equations 4x+ky+2z=0 kx...
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- The number of values of k, for which the system of equations (k""+""...
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- If P=[[1,alpha,3],[1,3,3],[2,4,4]] is the adjoint of a 3xx3 matrix A a...
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- If {:|(x,x),(1,x)| = |(3,4),(1,2)|. Write the positive value of 'x'.
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- If A is a square matrix of order 3 and |3A| = k|A|, then write the val...
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