91Ó°ÊÓ

Finding the Determinant of a Matrix \(5-22,\) find the determinant of the matrix. $$\left[ \begin{array}{rr}{2} & {-5} \\ {-4} & {-1}\end{array}\right]$$

Finding the Inverse of a Matrix In Exercises \(13-24,\) find the inverse of the matrix (if it exists). $$\left[ \begin{array}{rr}{4} & {-1} \\ {-3} & {1}\end{array}\right]$$

Finding the Determinant of a Matrix \(5-22,\) find the determinant of the matrix. $$\left[ \begin{array}{rr}{-7} & {6} \\ {\frac{1}{2}} & {3}\end{array}\right]$$

Writing an Augmented Matrix, write the augmented matrix for the system of linear equations. $$\left\\{\begin{array}{r}{x+10 y-2 z=2} \\ {5 x-3 y+4 z=0} \\ {2 x+y \quad=6}\end{array}\right.$$

Finding the Inverse of a Matrix In Exercises \(13-24,\) find the inverse of the matrix (if it exists). $$\left[ \begin{array}{lll}{1} & {1} & {1} \\ {3} & {5} & {4} \\ {3} & {6} & {5}\end{array}\right]$$

Evaluate the expression. 4\(\left(\left[ \begin{array}{rrr}{-4} & {0} & {1} \\ {0} & {2} & {3}\end{array}\right]-\left[ \begin{array}{rrr}{2} & {1} & {-2} \\ {3} & {-6} & {0}\end{array}\right]\right)\)

Finding the Inverse of a Matrix In Exercises \(13-24,\) find the inverse of the matrix (if it exists). $$\left[ \begin{array}{rrr}{1} & {2} & {2} \\ {3} & {7} & {9} \\ {-1} & {-4} & {-7}\end{array}\right]$$

Writing an Augmented Matrix, write the augmented matrix for the system of linear equations. $$\left\\{\begin{array}{rr}{-x-8 y+5 z=} & {8} \\ {-7 x-15 z=} & {-38} \\ {3 x-y+8 z=} & {20}\end{array}\right.$$

Evaluate the expression. \(\frac{1}{2}\left(\left[ \begin{array}{cccc}{5} & {-2} & {4} & {0}\end{array}\right]+\left[ \begin{array}{ccc}{14} & {6} & {-18} & {9}\end{array}\right]\right)\)

Finding the Determinant of a Matrix \(5-22,\) find the determinant of the matrix. $$\left[ \begin{array}{rr}{0} & {6} \\ {-3} & {2}\end{array}\right]$$