PAL F24 MATH 2164 - Exam 2 Quick Review

Determine if the columns of the matrix form a linearly independent set.

• True

• False

(a)  

Find the determinant of this matrix.

(a)  

Determine if the matrix is invertible.

• The matrix is invertible

• The matrix is not invertible

What is the first row, second column entry of the inverse of A?

(a)  

Compute the determinant of the matrix using cofactor expansion.

(a)  

Compute the determinant using row reduction to echelon form.

(a)  

Use Cramer's Rule to compute the solutions of the system.

(a)  

Find the area of the parallelogram whose vertices are: (0,0), (7,5), (11,6), (18,11)

(a)  

Let W be the set of all vectors of the form shown in the image. Determine if W is a vector space.

• W is a vector space.

• W is not a vector space.