Question: Answer Question A matrix will be singular if any row is a linear combination of the other rows, or if any column is a linear

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A matrix will be singular if any row is a linear combination of the other rows, or if any column is a linear combination of the other columns. (a) Explain in geometric terms Why both of these are true. (b) Demonstrate that Gaussian elimination must yield a zero row in both cases. (c) Explain Why both conditions are not only sufcient for singularity, but are also necessary; that is, any singular matrix must have at least one linearly dependent row and one linearly dependent column. This implies that if any row is a linear combination of others, then at least one column must also be linearly dependent, and Vice versa

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