Question

Let $A = egin{bmatrix} 0 & 1 \ -3 & -24 end{bmatrix}$. One can show that that $A$ is invertible and that its inverse $A^{-1}$ can be written as a product of elementary matrices: $A^{-1} = E_3 E_2 E_1$. Use this information to write $A$ as a product of elementary matrices $A = E_1^{-1} E_2^{-1} E_3^{-1}$. (You should solve this problem by performing the same process done in Problem 6 used to write $A$ as a product of elementary matrices.) $E_1^{-1} = egin{bmatrix} & \ & end{bmatrix}, E_2^{-1} = egin{bmatrix} & \ & end{bmatrix}, E_3^{-1} = egin{bmatrix} & \ & end{bmatrix}$.

          Let $A = egin{bmatrix} 0 & 1 \ -3 & -24 end{bmatrix}$. One can show that that $A$ is invertible and that its inverse $A^{-1}$ can be written as a product of elementary matrices: $A^{-1} = E_3 E_2 E_1$. Use this information to write $A$ as a product of elementary matrices $A = E_1^{-1} E_2^{-1} E_3^{-1}$. (You should solve this problem by performing the same process done in Problem 6 used to write $A$ as a product of elementary matrices.)
$E_1^{-1} = egin{bmatrix} & \ & end{bmatrix}, E_2^{-1} = egin{bmatrix} & \ & end{bmatrix}, E_3^{-1} = egin{bmatrix} & \ & end{bmatrix}$.

Let A = eginbmatrix 0 1 -3 -24 endbmatrix. One can show that that A is invertible and that its inverse A^-1 can be written as a product of elementary matrices: A^-1 = E3 E2 E1. Use this information to write A as a product of elementary matrices A = E1^-1 E2^-1 E3^-1. (You should solve this problem by performing the same process done in Problem 6 used to write A as a product of elementary matrices.)
E1^-1 = eginbmatrix endbmatrix, E2^-1 = eginbmatrix endbmatrix, E3^-1 = eginbmatrix endbmatrix.

Added by Luis Miguel L.

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