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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
- If A and B are symmetric matrices of the same order, then
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- If det A = -3 and A is of order 2 xx 2 find the value of det (-6A)
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- Write the value of |(sin 10^@ - cos10^@),(sin 80^@ cos80^@)|
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- If A of order n xx n and det A = k, then find det (adj A).
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- The value of |[[1,a,b+c],[1,b,c+a],[1,c,a+b]]| is
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- If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(ome...
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- Compute |(2,a,3),(4,b,6),(6,c,9)|
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- Find the area of the triangle whose vertices are (0,0),(a,0) and (0,b)
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- For what x, are the points (1,x), (2,2x), (3,3x) collinear?
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- Write down the adjoint of the matrix [(2,-1),(4,3)]
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- If A^-1 = [(0,1),(1,0)] and B^-1 = [(1,0),(0,1)], find (AB)^-1
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- Is the following system of equations consistent? 2x - 3y = 4, 3x + 2 y...
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- Find the number of solutions of the system of equations. 3x + 2y = 5, ...
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- If A is a scalar matrix of order 3xx3 such that a22 = 5, then find det...
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- If A is of order 5xx5 and det A = 1, find det (-A)
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- Find A^-1 if A = [(2,0),(0,3)]
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- If A = [(a,b),(c,d)], find adj (adj A)
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- If |A| = -5, find A (adj A).
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- Write the value of the determinant |(0,a-b,a-c), (b-a, 0, b-c),(c-a, c...
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- Find x if |(2x, 5),(3,x)| = |(16,5),(3,2)|
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