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# A determinant can never equal 0.

## $$\mathrm{F}$$

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we're given the statement, the determinant can never equal zero and asked to find if this is true or false. So our task here is to determine if the determinant can equal zero. So if we're given a two by two matrix, for example, where we have 3 to 00 so any row or column is zero, and we use the process of determining the determinant with the A Times D term minus the B times C term. We find that zero minus zero does in fact give us zero. So the statement that it can never equal zero is false. And again, this is because if any row or column is made of zeros, the A times D or B times c both result in 00 take way zero is zero, therefore again false.

SUNY College at Brockport

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