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Can somebody please help me check the solutions to these 2 questions because I do not have the answers to them in my notes:

The determinant of the following matrix:

$$ \begin{pmatrix} 4&0&1\\19&1&-3\\7&1&0 \end{pmatrix} $$ is

$$0 + 0 +19 - 7-0-(-12) = 24$$ and the determinant of $$ \begin{pmatrix} 0&2&0\\3&0&4\\2&3&0 \end{pmatrix} $$


$$0+16+0-0-0-0 = 16$$

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yes, your computations are both correct. – awllower Feb 15 '13 at 6:32
up vote 1 down vote accepted

Yes, both answers are correct. In the future it might be quicker to use sage or Wolfram Alpha to check things like this.

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