# Common Core: High School - Number and Quantity : Interpret the Absolute Value of the Determinant of a 2 by 2 Matrix: CCSS.Math.Content.HSN-VM.C.12

## Example Questions

### Example Question #1 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #2 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #3 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #4 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #5 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #6 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #7 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #8 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #9 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?

Explanation:

To find the determinant of the matrix, we need to multiply the main diagonal entries together, then multiply the off diagonal entries and then find the difference between them. It looks like the following.

We apply this to our problem to get

### Example Question #10 : Interpret The Absolute Value Of The Determinant Of A 2 By 2 Matrix: Ccss.Math.Content.Hsn Vm.C.12

What is the determinant of the following matrix?