Is there a way to write the following expression as a single identity?

Question

while doing a problem I have the following expression

$$\left| \begin{array}{cc} y_2 & y_3 \\ y_2'' & y_3'' \\ \end{array} \right| y_1 + \left| \begin{array}{cc} y_1 & y_3 \\ y_1'' & y_3'' \\ \end{array} \right| y_2 + \left| \begin{array}{cc} y_1 & y_2 \\ y_1'' & y_2'' \\ \end{array} \right| y_3 $$

Is there a way to write this as just one determinant? a 3by3 determinant of course

score 3 · Accepted Answer · answered Oct 03 '16 at 11:50

3

$\left | \begin{array}{ccc} y_1 & -y_2 & y_3 \\ y_1 & y_2 & y_3 \\ y_1^" & y_2^" & y_3^" \end{array} \right |$

answered Oct 03 '16 at 11:50

PSPACEhard

10,283

ILoveMath ... and check that you did not make a sign mistake on your middle term – GEdgar Oct 03 '16 at 13:05
If ILoveMath made a sign mistake in his second term, then using your determinant method, the result would be zero. – GEdgar Oct 03 '16 at 13:34

Is there a way to write the following expression as a single identity?

1 Answers1