### All Common Core: High School - Algebra Resources

## Example Questions

### Example Question #1 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

No

Yes

**Correct answer:**

No

In order to determine if a matrix has an inverse is to calculate the determinant.

Where , , , and correspond to the entries in the following matrix.

If the determinant is not equal to zero, an inverse exists, and if it's equal to zero, no inverse exists.

Now let's calculate the determinant.

### Example Question #2 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

No

Yes

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where , and correspond to the entries in the following matrix.

If the determinant is not equal to zero, an inverse exists, and if it's equal to zero, no inverse exists.

Now let's calculate the determinant.

### Example Question #3 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

No

Yes

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where , and correspond to the entries in the following matrix.

If the determinant is not equal to zero, an inverse exists, and if it's equal to zero, no inverse exists.

Now let's calculate the determinant.

### Example Question #4 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where and correspond to the entries in the following matrix.

Now let's calculate the determinant.

### Example Question #5 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where , and correspond to the entries in the following matrix.

Now let's calculate the determinant.

### Example Question #6 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

No

Yes

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where and correspond to the entries in the following matrix.

Now let's calculate the determinant.

### Example Question #7 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

No

Yes

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where and correspond to the entries in the following matrix.

Now let's calculate the determinant.

### Example Question #8 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

Yes

No

**Correct answer:**

No

In order to determine if a matrix has an inverse is to calculate the determinant.

Where , and correspond to the entries in the following matrix.

Now let's calculate the determinant.

### Example Question #9 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where and correspond to the entries in the following matrix.

Now let's calculate the determinant.

### Example Question #10 : Use Matrix Inverse To Solve System Of Linear Equations: Ccss.Math.Content.Hsa Rei.C.9

Does the following matrix have an inverse?

**Possible Answers:**

Yes

No

**Correct answer:**

Yes

In order to determine if a matrix has an inverse is to calculate the determinant.

Where and correspond to the entries in the following matrix.

Now let's calculate the determinant.