If$A = \left| \begin{array}{r} 1\ \ 0\ \ 0 \ x\ \ 1\ \ 0 \ x\ \ x\ \ 1 \end{array} ight|$and$\ I = \left| \begin{array}{r} 1\ \ 0\ \ 0 \ 0\ \ 1\ \ 0 \ 0\ \ 0\ \ 1 \end{array} ight|,\$then $A^{3} - 4A^{2} + 3A + I\$is equal to

Question

If$A = \left| \begin{array}{r} 1\ \ 0\ \ 0 \ x\ \ 1\ \ 0 \ x\ \ x\ \ 1 \end{array} ight|$and$\ I = \left| \begin{array}{r} 1\ \ 0\ \ 0 \ 0\ \ 1\ \ 0 \ 0\ \ 0\ \ 1 \end{array} ight|,\$then $A^{3} - 4A^{2} + 3A + I\$is equal to

Dr. Abubacker · Accepted Answer

(b)
Given, $A = \left| \begin{array}{r}
1\ \ 0\ \ 0 \
x\ \ 1\ \ 0 \
x\ \ x\ \ 1
\end{array} ight| \Rightarrow A = 1$
$	herefore A^{3} - 4A^{2} + 3A + I = (1)^{3} - 4(1)^{2} + 3(1) + I = I$

Q. If$A = \left| \begin{array}{r} 1\ \ 0\ \ 0 \\ x\ \ 1\ \ 0 \\ x\ \ x\ \ 1 \end{array} \right|$and$\ I = \left| \begin{array}{r} 1\ \ 0\ \ 0 \\ 0\ \ 1\ \ 0 \\ 0\ \ 0\ \ 1 \end{array} \right|,\$then $A^{3} - 4A^{2} + 3A + I\$is equal to

Explanation

Reviewed by Dr. Abubacker

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