Question
If A = show that A2 = A-1
Answer :
Word Count : 98
Matrix $A=\begin{bmatrix}-1&2&0\\-1&1&1\\0&1&0\end{bmatrix}$. First find $A^2=A\times A$: Row 1·Col 1: $(-1)(-1)+2(-1)+0(0)=1-2+0=-1$ Row 1·Col 2: $(-1)(2)+2(1)+0(1)=-2+2+0=0$ Row 1·Col 3: $(-1)(0)+2(1)+0(0)=0+2+0=2$ Row 2·Col 1: $(-1)(-1)+1(-1)+1(0)=1-1+0=0$ Row 2·Col __________ _______ _________ ________ ______ __________ ______ ____.
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Matrix $A=\begin{bmatrix}-1&2&0\\-1&1&1\\0&1&0\end{bmatrix}$. First find $A^2=A\times A$: Row 1·Col 1: $(-1)(-1)+2(-1)+0(0)=1-2+0=-1$ Row 1·Col 2: $(-1)(2)+2(1)+0(1)=-2+2+0=0$ Row 1·Col 3: $(-1)(0)+2(1)+0(0)=0+2+0=2$ Row 2·Col 1: $(-1)(-1)+1(-1)+1(0)=1-1+0=0$ Row 2·Col __________ _______ _________ ________ ______ __________ ______ ____.
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____ ___.
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