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Homogeneous Linear Systems

A system of e...

Question

A system of equations represented by AX = 0, where X is a column vector of unknown and A is a matrix containing coefficient has non-trivial solution when A is

Non-singular

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Singular

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Symmetric

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Hermitian

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Solution

The correct option is B Singular
In case of homogeneous system AX = 0

If A is non-singular, AX =0 will have trivial solution.

If A is singular matrix, AX =0 will have non trivial solution.

Hence option (b) is correct.

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