Evaluate the determinant, using row or column operations whenever possible to simplify your work.
2.5 Points
Answer
2)
Evaluate the determinant. Use row or column operations whenever possible to simplify your work.
D = __________
2.5 Points
Answer
3)
Find the determinant of the matrix, if it exists.
2.5 Points
Answer
4)
A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has three types of food available, and each type contains the following amounts of these nutrients per ounce:
Type A Type B Type C
Folic acid (mg) 3 1 3
Choline (mg) 4 2 4
Inositol (mg) 3 2 4
Suppose food type C has been improperly labeled, and it actually contains 4 mg of folic acid, 6 mg of choline, and 5 mg of inositol per ounce. Would it still be possible to use matrix inversion to find the combination of foods giving the required supply.
2.5 Points
Answer
5)
Evaluate the determinant, using row or column operations whenever possible to simplify your work.
2.5 Points
Answer
6)
(a) Find the determinant of the matrix.
(b) Determine whether the matrix has an inverse, but don’t calculate the inverse.
2.5 Points
Answer
7)
(a) Find the determinant of the matrix.
(b) Determine whether the matrix has an inverse, but don’t calculate the inverse.
2.5 Points
Answer
8)
Use a determinant to find the area of the triangle with the given vertices.
(0, 0), (6, 2), (2, 7)
Area = __________
2.5 Points
Answer
9)
Find the inverse of the matrix if it exists.
2.5 Points
Answer
10)
Find the determinant of the matrix.
2.5 Points
Answer
11)
Solve for x.
x = __________
2.5 Points
Answer
12)
Find the inverse of the matrix if it exists.
2.5 Points
· no solution
13)
Solve the system of equations by converting to a matrix equation and using the inverse of the coefficient matrix. Use the inverse of matrix.
(x, y) = ( __________, __________ )
2.5 Points
Answer
14)
Use Cramer’s Rule to solve the system.
2.5 Points
Answer
15)
Use Cramer’s Rule to solve the system.
2.5 Points
Answer
16)
Find the determinant of the matrix, if it exists.
