Math  /  Algebra

QuestionExpress the system as a vector and matrix equation:
9x1+x23x3=810x2+4x3=0 \begin{array}{r} 9 x_{1}+x_{2}-3 x_{3}=8 \\ 10 x_{2}+4 x_{3}=0 \end{array}

Studdy Solution
We can also write the system of equations as a matrix equation. In a matrix equation, the coefficients of the variables form a matrix, the variables themselves form a column vector, and the constants on the right-hand side of the equations form another column vector.
The matrix equation can be written as[913010][x1x2x3]=[80]\begin{bmatrix}9 &1 & -3 \\0 &10 & \end{bmatrix} \begin{bmatrix} x1 \\ x2 \\ x3 \end{bmatrix} = \begin{bmatrix}8 \\0 \end{bmatrix}This corresponds to choice B in the problem.

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