Evaluate the determinant, using row or column operations whenever possible to simplify your work.

A picture containing text, screen Description automatically generated

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.

A picture containing text, electronics, keyboard Description automatically generated

2.5 Points

Answer

6)

(a) Find the determinant of the matrix.

A picture containing text, electronics, display Description automatically generated

(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.

A picture containing text, monitor, screen, television Description automatically generated

(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.

A picture containing text Description automatically generated

2.5 Points

Answer

10)

Find the determinant of the matrix.

A picture containing text Description automatically generated

2.5 Points

Answer

11)

Solve for x.

A screenshot of a computer Description automatically generated with low confidence

x = __________

2.5 Points

Answer

12)

Find the inverse of the matrix if it exists.

A picture containing text, indoor Description automatically generated

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.

A picture containing text Description automatically generated

(x, y) = ( __________, __________ )

2.5 Points

Answer

14)

Use Cramer’s Rule to solve the system.

Text Description automatically generated with medium confidence

2.5 Points

Answer

15)

Use Cramer’s Rule to solve the system.

A picture containing text, control panel Description automatically generated

2.5 Points

Answer

16)

Find the determinant of the matrix, if it exists.

A picture containing text Description automatically generated