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The value of is λ(a – b) (b – c) (c – a), where λ is equal to
If A and B are two nonzero square matrices such that AB = 0, then
If the system of equations x  ky  z = 0, kx  y  z = 0, x + y  z = 0 has a nonzero solution, then the possible values of k are
The number of distinct real roots of in the intervalis
If for a triangle ABC, then what is the value of sin^{3} A + sin^{3} B + sin^{3} C?
If the system of equations x  Ky  z = 0, Kx  y  z = 0 and x + y  z = 0 has a nonzero solution, then the possible values of K are
If a > 0 and discriminant of ax^{2} + 2bx + c is negative, then
If A is an invertible matrix and B is a matrix, then
If every minor of order r of a matrix A is zero, then rank of A is
The system of equations kx + y + z = 1, x + ky + z = k and x + y + kz = k2 have no solution if k equals
For what value of λ, the system of equations x  2y + z = 0, 2x  y + 3z = 0, x + y  z = 0 has the trivial solution as the only solution.
For a_{1 }≠ 0 (I = 1, 2, 3, ……., n) the sum of cofactors of all elements of the determinant for all n is
The system of equations x + 2y  z = 3, 2x  2y + 3z = 2, 3x  y + 2z = 1 has
The system of equations  2x + y + z = a, x  2y + z = b, x + y  2z = c has no solution, if
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106 videos27 docs30 tests
