vraag

false

Consider the matrix $A=\left(\begin{array}{ccc}-2& 2& 1\\ -8& 6& 2\\ 15& -12& -4\end{array}\right)$.

Can you diagonalize this matrix?

In other words, do there exist a matrix $P$ and a diagonal matrix $D$ with ${P}^{-1}·A·P=D$?

If yes, provide a matrix $P$ and a diagonal matrix $D$ with ${P}^{-1}·A·P=D$, and give your answer in the form $\left(P=?\right)\wedge \left(D=?\right)$.

If not, answer with no .

<OMOBJ><OMA><OMS cd="logic1" name="and"></OMS><OMA><OMS cd="relation1" name="eq"></OMS><OMV name="P"></OMV><OMA><OMS cd="linalg2" name="matrix"></OMS> <OMA><OMS cd="linalg2" name="matrixrow"></OMS> <OMI>1</OMI><OMI>0</OMI><OMI>0</OMI> </OMA> <OMA><OMS cd="linalg2" name="matrixrow"></OMS> <OMI>0</OMI><OMI>1</OMI><OMI>0</OMI> </OMA> <OMA><OMS cd="linalg2" name="matrixrow"></OMS> <OMI>0</OMI><OMI>0</OMI><OMI>1</OMI> </OMA> </OMA></OMA><OMA><OMS cd="relation1" name="eq"></OMS><OMV name="D"></OMV><OMA><OMS cd="linalg2" name="matrix"></OMS> <OMA><OMS cd="linalg2" name="matrixrow"></OMS> <OMI>1</OMI><OMI>0</OMI><OMI>0</OMI> </OMA> <OMA><OMS cd="linalg2" name="matrixrow"></OMS> <OMI>0</OMI><OMI>1</OMI><OMI>0</OMI> </OMA> <OMA><OMS cd="linalg2" name="matrixrow"></OMS> <OMI>0</OMI><OMI>0</OMI><OMI>1</OMI> </OMA> </OMA></OMA></OMA></OMOBJ>The formula contains a syntax error.

Check your answer Solution In steps