91Ó°ÊÓ

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists). $$ \left[\begin{array}{rrr} 0.6 & 0 & -0.3 \\ 0.7 & -1 & 0.2 \\ 1 & 0 & -0.9 \end{array}\right] $$

Write the matrix in reduced row-echelon form. $$ \left[\begin{array}{rr} 1 & -3 \\ -1 & 8 \\ 0 & 4 \\ -2 & 10 \end{array}\right] $$

Use a determinant to find an equation of the line passing through the points. $$ (3,3),(6,3) $$

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists). $$ \left[\begin{array}{rrrr} 1 & -3 & 2 & -1 \\ 0 & 4 & -12 & 8 \\ 3 & 0 & 5 & -2 \\ 0 & -3 & 9 & -6 \end{array}\right] $$

Use a determinant to find an equation of the line passing through the points. $$ \left(-\frac{1}{2}, 3\right),\left(\frac{5}{2}, 1\right) $$

Find the determinant of the matrix. Expand by cofactors on the row or column that appears to make the computations easiest. Use a graphing utility to confirm your result. $$ \left[\begin{array}{rrr} 1 & 4 & -2 \\ 3 & 2 & 0 \\ -1 & 4 & 3 \end{array}\right] $$

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists). $$ \left[\begin{array}{rrrr} 1 & 3 & -2 & 0 \\ 0 & 2 & 4 & 6 \\ 0 & 0 & -2 & 1 \\ 0 & 0 & 0 & 5 \end{array}\right] $$

Find the determinant of the matrix. Expand by cofactors on the row or column that appears to make the computations easiest. Use a graphing utility to confirm your result. $$ \left[\begin{array}{rrr} 2 & -1 & 3 \\ 1 & 4 & 4 \\ 1 & 0 & 2 \end{array}\right] $$

Use a determinant to find an equation of the line passing through the points. $$ \left(\frac{2}{3}, 4\right),(6,12) $$

Write the system of linear equations represented by the augmented matrix. (Use the variables \(x, y, z\), and \(w .)\) $$ \left[\begin{array}{rrrrr} 1 & 0 & 2 & -10 \\ 0 & 3 & -1 & 5 \\ 4 & 2 & 0 & 3 \end{array}\right] $$