91Ó°ÊÓ

Use the matrix capabilities of a graphing utility to find the determinant of the matrix. $$ \left[\begin{array}{rrr} 0.9 & 0.7 & 0 \\ -0.1 & 0.3 & 1.3 \\ 2.2 & 4.2 & 6.1 \end{array}\right] $$

Use the matrix capabilities of a graphing utility to find the determinant of the matrix. $$ \left[\begin{array}{rrr} 0.1 & 0.1 & -4.3 \\ 7.5 & 6.2 & 0.7 \\ 0.3 & 0.6 & -1.2 \end{array}\right] $$

Find the inverse of the matrix (if it exists). $$ \left[\begin{array}{ll} 2 & 3 \\ 6 & 9 \end{array}\right] $$

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. $$ \left[\begin{array}{rrrr} 1 & 0 & 2 & 1 \\ 0 & 1 & -3 & 10 \\ 0 & 0 & 1 & 0 \end{array}\right] $$

Use a determinant to determine whether the points are collinear. $$ (2,4),(4,5),(-2,2) $$

Use a determinant to determine whether the points are collinear. $$ (-1,-7),(0,-3),(1,2) $$

Use the matrix capabilities of a graphing utility to find the determinant of the matrix. $$ \left[\begin{array}{rrr} 5 & -3 & 2 \\ 7 & 5 & -7 \\ 0 & 6 & -1 \end{array}\right] $$

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. $$ \left[\begin{array}{rrrr} 2 & 0 & 4 & 0 \\ 0 & -1 & 3 & 6 \\ 0 & 0 & 1 & 5 \end{array}\right] $$

Use the matrix capabilities of a graphing utility to find the determinant of the matrix. $$ \left[\begin{array}{llr} 2 & 3 & 1 \\ 0 & 5 & -2 \\ 0 & 0 & -2 \end{array}\right] $$

Determine whether the matrix is in row-echelon form. If it is, determine if it is also in reduced row-echelon form. $$ \left[\begin{array}{llll} 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 5 \\ 0 & 0 & 1 & 3 \end{array}\right] $$