Common Core: High School - Algebra : Use Matrix Inverse to Solve System of Linear Equations: CCSS.Math.Content.HSA-REI.C.9

Study concepts, example questions & explanations for Common Core: High School - Algebra

varsity tutors app store varsity tutors android store

All Common Core: High School - Algebra Resources

6 Diagnostic Tests 65 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1

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:

Yes

No

Correct answer:

No

Explanation:

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:

Yes

No

Correct answer:

Yes

Explanation:

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:

Yes

No

Correct answer:

Yes

Explanation:

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:

No

Yes

Correct answer:

Yes

Explanation:

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 #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

Explanation:

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 #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

Explanation:

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 #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:

Yes

No

Correct answer:

Yes

Explanation:

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 #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

Explanation:

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 #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

Explanation:

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 #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

Explanation:

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.

← Previous 1

All Common Core: High School - Algebra Resources

6 Diagnostic Tests 65 Practice Tests Question of the Day Flashcards Learn by Concept
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: