Total number of solutions to the system of linear equations x + y + 0.z = 0, X – y + 0.z = 0, X + 4y + 0.z = 0 is 1.

True

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False

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Solution

The correct option is B
False

Once you express the given equations in the form of matrices the determinant D = 0 and D1 = D2 = D3 = 0. So according to Cramer's rule there exists either infinite number of solutions or no solutions at all. In either case it can't be 1.

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Total number of solutions to the system of linear equations x + y + 0.z = 0, X – y + 0.z = 0, X + 4y + 0.z = 0 is infinity.

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