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Study Stuff for MCA Examinations

Study Stuff for MCA Examinations

If x, y, z are distinct real numbers then = 0, then xyz=

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The system of equations $x+2y+2z=5$, $x+2y+3z=6$, $x+2y+\lambda z=\mu$ has
infinitely many solutions if

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For an invertible matrix A, which of the following is not always true:

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If $D={\begin{vmatrix}{1} & 1 & {1} \\ 1 & {2+x} & {1} \\ {1} & {1} & {2+y}\end{vmatrix}}\, for\, x\ne0,\, y\ne0$ then D is

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If a, b, c are the roots of the equation , then the value of is

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If the system of equations $3x-y+4z=3$ , $x+2y-3z=-2$ , $6x+5y+λz=-3 $ has atleast one solution, then $λ=$

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The number of values of k for which the linear
equations

4x + ky + z = 0

kx + 4y + z = 0

2x + 2y + z = 0

posses a non-zero solution is

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Δ = 0

Let A = (a_{ij}) and B = (b_{ij}) be two square matricesof order n and det(A) denotes the determinant of A.
Then, which of the following is not correct.

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