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Which linear system has this matrix of constants? `[[12],[11],[4]]` a, b, c or d
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Which Linear System Has This Matrix Of Constants 12114 A B C Or D IMAGE ATTACHED class=

Sagot :

tushargupta0691

The following linear system has [[12], [11], [4]] matrix of constants,

x + y + z = 12

x - y = 11

x - y + z = 4  

(Option D)

Verification of the Choice:

The given linear system is,

x + y + z = 12

x - y = 11

x - y + z = 4  

This can be written in the form of matrix as follows,

[tex]\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right][/tex] [tex]\left[\begin{array}{}x&y&z\end{array}\right][/tex] = [tex]\left[\begin{array}{}12&11&4\end{array}\right][/tex]

Hence, option D is the correct linear system as it contains the desired matrix.

About the Other Options:

The RHS matrix in option A would be,

[tex]\left[\begin{array}{}26&17&23\end{array}\right][/tex] which is not the desired matrix.

Similarly, the linear systems in the options B and C contain the matrix [tex]\left[\begin{array}{}23&17&26\end{array}\right][/tex] and the matrix  [tex]\left[\begin{array}{}4&11&12\end{array}\right][/tex] on the RHS of the equality, which are not desired.

Thus, option D is correct.

Learn more about a matrix here:

https://brainly.com/question/9967572

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