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If |–a b c; a –b c; a b –c| = kabc, then the value of k is :
Let f(x) = |x² sin x; p -1|, where p is a constant. The value of p for which f'(0) = 1 is :
If |A| = |kA|, where A is a square matrix of order 2, then sum of all possible values of k is
For which value of x, are the determinants |2x −3; 5 x| and |10 1; −3 2| equal ?
if |3x, 7; -2, 4| = |8, 7; 6, 4|, find the value of x.
Obtain the value of Δ = |[1+x, 1, 1], [1, 1+y, 1], [1, 1, 1+z]| in terms of x, y and z. Further, if Δ = 0 and x, y, z are non-zero real numbers, prove that x⁻¹ + y⁻¹ + z⁻¹ = −1.
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