Concept of Elementary Row and Column Operation
Matrix and Determinant

79450 The number of solutions of the system of equations \(2 x+y-z=7, x-3 y+2 z=1\) and \(x+\) \(4 y-3 z=5\) is

1 3
2 2
3 1
4 0
Matrix and Determinant

79451 \(x+k y-z=0,3 x-k y-z=0\) and \(x-3 y+z=0\) has non-zero solution for \(k\) is equal to:

1 -1
2 0
3 1
4 2
Matrix and Determinant

79460 The value of \(\sin \beta \cos \beta \sin (\beta+\gamma)\) is :
\(\sin \delta \cos \delta \sin (\gamma+\delta)\)

1 \(\sin \alpha \sin \beta \sin \delta\)
2 \(\sin \alpha \cos \beta \cos \delta\)
3 1
4 0
Matrix and Determinant

79450 The number of solutions of the system of equations \(2 x+y-z=7, x-3 y+2 z=1\) and \(x+\) \(4 y-3 z=5\) is

1 3
2 2
3 1
4 0
Matrix and Determinant

79451 \(x+k y-z=0,3 x-k y-z=0\) and \(x-3 y+z=0\) has non-zero solution for \(k\) is equal to:

1 -1
2 0
3 1
4 2
Matrix and Determinant

79460 The value of \(\sin \beta \cos \beta \sin (\beta+\gamma)\) is :
\(\sin \delta \cos \delta \sin (\gamma+\delta)\)

1 \(\sin \alpha \sin \beta \sin \delta\)
2 \(\sin \alpha \cos \beta \cos \delta\)
3 1
4 0
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Matrix and Determinant

79450 The number of solutions of the system of equations \(2 x+y-z=7, x-3 y+2 z=1\) and \(x+\) \(4 y-3 z=5\) is

1 3
2 2
3 1
4 0
Matrix and Determinant

79451 \(x+k y-z=0,3 x-k y-z=0\) and \(x-3 y+z=0\) has non-zero solution for \(k\) is equal to:

1 -1
2 0
3 1
4 2
Matrix and Determinant

79460 The value of \(\sin \beta \cos \beta \sin (\beta+\gamma)\) is :
\(\sin \delta \cos \delta \sin (\gamma+\delta)\)

1 \(\sin \alpha \sin \beta \sin \delta\)
2 \(\sin \alpha \cos \beta \cos \delta\)
3 1
4 0