Math  /  Linear Algebra

Question Solve linear system Ax=bAx=b where AA is 3×33 \times 3 matrix, x=[x1x2x3]x=\left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3}\end{array}\right], b=[243]b=\left[\begin{array}{l}-2 \\ -4 \\ -3\end{array}\right], and A1=[141232054]A^{-1}=\left[\begin{array}{ccc}1 & 4 & -1 \\ 2 & -3 & 2 \\ 0 & 5 & -4\end{array}\right]. Find the value of x3x_{3}.

Studdy Solution
Identify the value of x3x_3 from the vector xx.
x3=8x_3 = -8
The unknown x3x_3 is equal to 8-8, which corresponds to option a.

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