91Ó°ÊÓ

Solve for \(X\) in the equation, where \(A=\left[ \begin{array}{rr}{-2} & {-1} \\ {1} & {0} \\ {3} & {-4}\end{array}\right]\) and \(B=\left[ \begin{array}{rr}{0} & {3} \\ {2} & {0} \\\ {-4} & {-1}\end{array}\right].\) \(5 A-6 B=-3 X\)

Finding the Inverse of a Matrix In Exercises \(25-34\) , use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists). $$\left[ \begin{array}{rrrr}{1} & {-2} & {-1} & {-2} \\ {3} & {-5} & {-2} & {-3} \\ {2} & {-5} & {-2} & {-5} \\ {-1} & {4} & {4} & {11}\end{array}\right]$$

Finding the Minors and Cofactors of a Matrix In Exercises \(31-38\) , find all the (a) minors and (b) cofactors of the matrix. $$\left[ \begin{array}{rr}{-6} & {5} \\ {7} & {-2}\end{array}\right]$$

Testing for Collinear Points In Exercises \(35-40\) , use a determinant to determine whether the points are collinear. $$(3,-1),(0,-3),(12,5)$$

Finding the Minors and Cofactors of a Matrix In Exercises \(31-38\) , find all the (a) minors and (b) cofactors of the matrix. $$\left[ \begin{array}{rrr}{4} & {0} & {2} \\ {-3} & {2} & {1} \\ {1} & {-1} & {1}\end{array}\right]$$

Testing for Collinear Points In Exercises \(35-40\) , use a determinant to determine whether the points are collinear. $$(3,-5),(6,1),(4,2)$$

If possible, find \(A B\) and state the order of the result. \(A=\left[ \begin{array}{rrr}{0} & {-1} & {2} \\ {6} & {0} & {3} \\ {7} & {-1} & {8}\end{array}\right], \quad B=\left[ \begin{array}{rr}{2} & {-1} \\\ {4} & {-5} \\ {1} & {6}\end{array}\right]\)

Elementary Row Operations, fill in the blank(s) using elementary row operations to form a row-equivalent matrix. $$\left[ \begin{array}{rrr}{-3} & {3} & {12} \\ {18} & {-8} & {4}\end{array}\right]$$ $$\left[ \begin{array}{rrr}{1} & {-1} & {} \\ {18} & {-8} & {4}\end{array}\right]$$

Finding the Minors and Cofactors of a Matrix In Exercises \(31-38\) , find all the (a) minors and (b) cofactors of the matrix. $$\left[ \begin{array}{rrr}{1} & {-1} & {0} \\ {3} & {2} & {5} \\ {4} & {-6} & {4}\end{array}\right]$$

Finding the Minors and Cofactors of a Matrix In Exercises \(31-38\) , find all the (a) minors and (b) cofactors of the matrix. $$\left[ \begin{array}{rrr}{-4} & {6} & {3} \\ {7} & {-2} & {8} \\ {1} & {0} & {-5}\end{array}\right]$$