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Elementary Matrices: Problem 1 Previous Problem Problem List Next Problem (1 point) a. Suppose that: \[ E_{1}\left[\begin{array}{cc} -4 & 3 \\ -4 & -1 \end{array}\right]=\left[\begin{array}{ll} -16 & 12 \\ -4 & -1 \end{array}\right] \] Find $E_{1}$ and $E_{1}^{-1}$ b. Suppose that: \[ E_{2}\left[\begin{array}{cc} -4 & 3 \\ -4 & -1 \end{array}\right]=\left[\begin{array}{ll} -4 & -1 \\ -4 & 3 \end{array}\right] \] Find $E_{2}$ and $E_{2}^{-1}$ \[ E_{2}=[ \] c. Suppose that: \[ E_{3}\left[\begin{array}{cc} -4 & 3 \\ -4 & -1 \end{array}\right]=\left[\begin{array}{ll} -16 & 0 \\ -4 & -1 \end{array}\right] \] Find $E_{3}$ and $E_{3}^{-1}$ d. Suppose that:


f. Suppose that: \[ E_{6}\left[\begin{array}{ccc} -3 & 4 & 5 \\ 4 & 5 & -2 \\ 5 & 1 & 1 \end{array}\right]=\left[\begin{array}{ccc} -3 & 4 & 5 \\ 4 & 5 & -2 \\ -16 & 29 & 36 \end{array}\right] \] Find $E_{6}$ and $E_{6}^{-1}$

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