a. Write the linear system as a matrix equation in the form AX = B. b. Solve the system using the inverse that is given for the coefficient matrix. x - y + z = 0 2y - z = -3 -2x - 3y = 6 A^-1 = [3 3 1; -2 -2 -1; -4 -5 -2] a. AX = B -> [][][] [ ] = [ ] b. The solution set is {( , , )}.
Added by Angela H.
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Step 1: Write the matrix equation using the given coefficients and variables: \[ \begin{bmatrix} 1 & 1 & 0 \\ 2 & -3 & -1 \\ -4 & -5 & -2 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 0 \\ -3 \\ 6 \end{bmatrix} \] Show more…
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