This exercise should be done two ways: by hand and using technology where possible. Let \begin{equation*} A = \begin{bmatrix} 5 & -5\\ 0 & 2\\ 0 & -2 \end{bmatrix}, B = \begin{bmatrix} 3 & 0 & -1\\ 9 & -1 & 1 \end{bmatrix}, C = \begin{bmatrix} x & 1 & w\\ z & r & 4 \end{bmatrix}. \end{equation*}Evaluate the following. A(B + C) 10. [-/7 Points] DETAILS Translate the given matrix equations into a system of linear equations. (Enter your answers as a comma-separated list of equations.) \begin{equation*} \begin{bmatrix} 0 & 1 & 8\\ 1 & -2 & 0 \end{bmatrix} \begin{bmatrix} x\\ y\\ z\\ w \end{bmatrix} = \begin{bmatrix} -9\\ 3 \end{bmatrix} \end{equation*}
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This exercise should be done two ways: by hand and using technology where possible. Let A = 0 −1 0 1 10 0 1 0 , B = 0 −1 1 1 −1 5 7 0 , C = 1 −1 1 1 1 1 1 1 . Evaluate the following. (B − C)A
Zhumagali S.
Given $A$ and $b$ in Exercises 11 and $12,$ write the augmented matrix for the linear system that corresponds to the matrix equation $A \mathbf{x}=\mathbf{b} .$ Then solve the system and write the solution as a vector. $$ A=\left[\begin{array}{rrr}{1} & {2} & {1} \\ {-3} & {-1} & {2} \\ {0} & {5} & {3}\end{array}\right], \mathbf{b}=\left[\begin{array}{r}{0} \\ {1} \\ {-1}\end{array}\right] $$
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The Matrix Equation Ax D b
Given $A$ and $b$ in Exercises 11 and $12,$ write the augmented matrix for the linear system that corresponds to the matrix equation $A \mathbf{x}=\mathbf{b} .$ Then solve the system and write the solution as a vector. $$ A=\left[\begin{array}{rrr}{1} & {2} & {4} \\ {0} & {1} & {5} \\ {-2} & {-4} & {-3}\end{array}\right], \mathbf{b}=\left[\begin{array}{r}{-2} \\ {2} \\ {9}\end{array}\right] $$
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