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Problem 156

Find the inverse of $$ \begin{array}{ll} \mid 1 & 2 \\ \mid 3 & 7 \end{array} \mid $$

Expert verified

The inverse of the given matrix is \(A^{-1} = \begin{bmatrix} 7 & -2 \\ -3 & 1 \end{bmatrix}\).

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Chapter 6

Let $\mathrm{A}=\begin{array}{ccc}1 & 2 & 3 \mid \\ \mid 1 & 3 & 2 \\ \mid 1 & 1 & 5\end{array}$ Show how we obtain the inverse of \(A\) by reducing the matrix [A: I] to a matrix of the form \([\mathrm{I}: \mathrm{B}]\).

Chapter 6

Find the inverse of $$ \mathrm{A}=\begin{array}{ccc} 1 & 2 & 3 \\ 2 & 5 & 3 \\ 1 & 0 & 8 \end{array} $$

Chapter 6

Let $\mathrm{A}=\begin{array}{ccc}\mid 1 & 1 & 1 \mid \\ \mid 0 & 1 & 0 \\\ \mid 0 & 1 & 1\end{array}$ Find the inverse of \(\mathrm{A}\).

Chapter 6

Find the inverse of A where $$ \mathrm{A}=\left|\begin{array}{rrr} 1 & 2 & -3 \\ 1 & -2 & 1 \\ \mid 5 & -2 & -3 \end{array}\right| $$

Chapter 6

Show that \(\mathrm{A}\) is not invertible where $$ \mathrm{A}=\begin{array}{llr} 1 & 6 & 4 \\ 2 & 4 & -1 \\ -1 & 2 & 5 \end{array} \mid $$

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