1.

- 3 - 3 5 - 6 Let S be the parallelogram determined by the vectors b1 = and b2 = , and IetA = . Compute the area of the image of 8 under the mapping x>Ax. 10 - 3 6 The area ofthe image of 8 under the mapping xr>Ax is E. (Type an integer or a decimal.) Use determinants to decide if the set of vectors is linearly independent. 3 - 2 2 O 5 6 1 woo - 6 0 3 4 8 O The determinant of the matrix whose columns are the given vectors is (Simplify your answer.)Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. 3 4 -4 2 0 -2 7 -6 0 0 1 3 0 0 O 2 3 4 4 2 0 2 7 6 . , = (Simplify your answer.) 0 0 1 3 0 0 0 2 Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. 2 0 0 4 472-8 200 0 7319 2 0 0 4 4 7 2 -8 . _ = (Simplify your answer.) 2 0 0 0 7319 The vector x is in a subspace H with a basis B = {b1 ,b2}. Find the B-cccrdinate vector of x. 1 2 1 b1= 3 .b2= -5 ,x= 5 2 3 -4 The vector x is in a subspace H with a basis B ={b1,b2}. Find the B-coordinate vector of x