Practice Problems:

Transpose of a Matrix

(1)     find: GT           (2)   hT={1  2  3} find: h

 (3)       find: JT            (4) find:T

The Inverse of a Matrix

Find the inverse of the following:

(1)       (2)        

(3)=

Linear Dependence

Determine whether the following subsets are linearly dependent or linearly independent:

(1)   {(1,5,-3), (1,6,-3), (1,7,-3)}

(2)  {(1,2,3), (1,4,9), (1,8,27)}

(3)  {x-1, x+1, x2-2x+1}

(4) {1, x, x2, x3}