91Ó°ÊÓ

Perform the indicated operations. \(\left[\begin{array}{lll}6 & 3 & 8 \\ 4 & 5 & 6\end{array}\right]-\left[\begin{array}{lll}3 & -2 & -1 \\ 0 & -5 & -7\end{array}\right]\)

Solve the system of linear equations, using the Gauss-Jordan elimination method. \(\begin{aligned} 2 x-y &=3 \\ x+2 y &=4 \\ 2 x+3 y &=7 \end{aligned}\)

Find the inverse of the matrix, if it exists. Verify your answer. \(\left[\begin{array}{rrr}1 & 4 & -1 \\ 2 & 3 & -2 \\ -1 & 2 & 3\end{array}\right]\)

Compute the indicated products. \(\left[\begin{array}{lll}2 & 1 & 2 \\ 3 & 2 & 4\end{array}\right]\left[\begin{array}{rr}-1 & 2 \\ 4 & 3 \\ 0 & 1\end{array}\right]\)

Perform the indicated operations. \(\left[\begin{array}{rrrr}2 & -3 & 4 & -1 \\ 3 & 1 & 0 & 0\end{array}\right]+\left[\begin{array}{rrrr}4 & 3 & -2 & -4 \\ 6 & 2 & 0 & -3\end{array}\right]\)

Solve the system of linear equations, using the Gauss-Jordan elimination method. \(\begin{aligned} x+2 y &=3 \\ 2 x-3 y &=-8 \\ x-4 y &=-9 \end{aligned}\)

Compute the indicated products. \(\left[\begin{array}{rr}-1 & 2 \\ 4 & 3 \\ 0 & 1\end{array}\right]\left[\begin{array}{lll}2 & 1 & 2 \\ 3 & 2 & 4\end{array}\right]\)

Indicate whether the matrix is in rowreduced form. \(\left[\begin{array}{lll|l}1 & 0 & 0 & -1 \\ 0 & 1 & 0 & -2 \\ 0 & 0 & 2 & -3\end{array}\right]\)

Find the inverse of the matrix, if it exists. Verify your answer. \(\left[\begin{array}{rrr}3 & -2 & 7 \\ -2 & 1 & 4 \\ 6 & -5 & 8\end{array}\right]\)

Find the inverse of the matrix, if it exists. Verify your answer. \(\left[\begin{array}{rrrr}1 & 1 & -1 & 1 \\ 2 & 1 & 1 & 0 \\ 2 & 1 & 0 & 1 \\\ 2 & -1 & -1 & 3\end{array}\right]\)