Zfarris96idn
Answered

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What is the solution to this matrix equation?

[tex]\[
\begin{array}{l}
{\left[\begin{array}{ccc}
4 & 2 & -1 \\
1 & 1 & -1 \\
-3 & -1 & 1
\end{array}\right]\left[\begin{array}{l}
x \\
y \\
z
\end{array}\right]=\left[\begin{array}{c}
15 \\
-10 \\
60
\end{array}\right]} \\
x = \square \\
y = \square \\
z = \square
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
To solve the matrix equation

[tex]\[ \begin{array}{l} \left[\begin{array}{ccc} 4 & 2 & -1 \\ 1 & 1 & -1 \\ -3 & -1 & 1 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 15 \\ -10 \\ 60 \end{array}\right] \end{array} \][/tex]

we need to find the values of [tex]\( x \)[/tex], [tex]\( y \)[/tex], and [tex]\( z \)[/tex] that satisfy this system of linear equations. The solution to this system is:

[tex]\[ x = -25 \][/tex]

[tex]\[ y = 100 \][/tex]

[tex]\[ z = 85 \][/tex]
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