An Ultimate Matrices MCQ Quiz

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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 47,818
| Attempts: 2,956 | Questions: 30
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1. What is the determinant for the above matrix?

Explanation

ad-bc

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About This Quiz
An Ultimate Matrices MCQ Quiz - Quiz

Do you have any idea what is matrices in mathematics? Do you think you can pass this matrices quiz? A matrix is basically a rectangular collection or... see moretable of numbers, symbols, or expressions that are arranged in rows and columns in mathematics. Take this quiz and learn more about matrices in math. The order for seven matrices is described below. A is a 2x2 matrix. D is a 3x2 matrix. K is a 5x2 matrix. L is a 4x3 matrix. M is a 5x5 matrix. P is a 4x1 matrix. Q is a 1x5 matrixUse this information to answer the true/false statements.
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2. If we call the matrix above 'A', does the inverse of A exist?

Explanation

An inverse exists only for square matrices with a determinant that is not zero. If the determinant is zero, there is no inverse. If the matrix represents a pair of simultaneous equations, it means they are either inconsistent (parallel) or dependent (the same equation).

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3. The determinant for the above matrix is zero. What is the value of x?

Explanation

ad-bc = 0 ... so ... substitute the values into the determinant formuata and isolate the x.

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4. AK is undefined, but KA is defined.

Explanation

The statement suggests that the value of AK is undefined, meaning it does not have a specific value assigned to it. On the other hand, KA is defined, indicating that it has a specific value assigned. Therefore, the statement is true because it states a valid comparison between the undefined value of AK and the defined value of KA.

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5. What is the determinant for the above matrix?

Explanation

ad-bc

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6. What is the determinant for the above matrix?

Explanation

ad-bc

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7. P is a row matrix.

Explanation

3x2 & 2x2 = will give a 3x2 not a 2x3

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8. I have a square matrix A with a determinant that is not zero.A space asterisk times space A to the power of minus 1 end exponent equals space A to the power of minus 1 end exponent asterisk times space A 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

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9. The determinant for the matrix above is 26. The missing number is a value between 0 and 5 inclusive. What is the missing value?

Explanation

Trial and error.
You can use algebra to solve this but its faster to use the det() command and just substitute the one missing value in each time. It's faster than the Inverse App if you simply put your matrix inside the brackets.

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10. If we call the matrix above 'A', does the inverse of A exist?

Explanation

An inverse exists only for square matrices with a determinant that is not zero. If the determinant is zero, there is no inverse. If the matrix represents a pair of simultaneous equations, it means they are either inconsistent (parallel) or dependent (the same equation).

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11. Matrix A and Matrix D are equal matrices

Explanation

The statement "Matrix A and Matrix D are equal matrices" is false. This means that Matrix A and Matrix D are not equal to each other. They may have different dimensions, different elements, or both.

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12. AK is undefined, but KA is defined.

Explanation

This statement implies that there is a difference in the definitions of AK and KA. While KA is defined, meaning there is a clear understanding or explanation for it, AK is undefined, suggesting that there is no known definition or explanation for it. Therefore, the statement is true, as it confirms that KA is defined while AK is not.

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13. I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.B asterisk times I equals A asterisk times I 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

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14. Q is a column matrix.

Explanation

3x2 & 2x2 = will give a 3x2 not a 2x3

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15. I have a square matrix A with a determinant that is not zero. I is the identity matrix.I equals space A to the power of minus 1 end exponent asterisk times space A asterisk times I 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

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16. I have a square matrix A with a determinant that is not zero. I is the identity matrix.A space asterisk times space A to the power of minus 1 end exponent equals space A to the power of minus 1 end exponent asterisk times space A asterisk times I 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Submit
17. The product matrix of DA will be a 2x3 matrix

Explanation

3x2 & 2x2 = will give a 3x2 not a 2x3

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18. The determinant for the above matrix is -15. What is the value of x?

Explanation

ad-bc = 0 ... so ... substitute the values into the determinant formuata and isolate the x.

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19. Matrix K has a determinant of 3.

Explanation

Only a square matrix can have an inverse, and therefore on square matrices have a determinant.

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20. There are two matrices for which a determinant may be derived

Explanation

3x2 & 2x2 = will give a 3x2 not a 2x3

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21. What is the determinant for the above matrix?

Explanation

Only on Calculator - det(A)

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22. P is a row matrix.

Explanation

The given statement is "P is a row matrix." The correct answer is False. This means that P is not a row matrix. A row matrix is a matrix with only one row. Since the statement says that P is a row matrix, but the correct answer is False, it implies that P is not a row matrix, meaning it has more than one row.

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23. The determinant for the matrix above is 44. The missing number is a value between 1 and 5 inclusive. What is the missing value

Explanation

Trial and error. You don't know how to find the determinant manually, so you simply create the matrix, then substitute 1, 2, 3, 4 and 5 into the missing space. Using the det() command is the fastest way to do it. It's faster than the Inverse App if you simply put your matrix inside the brackets.

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24. The element d subscript 2 comma 3 end subscript could be the value 5.

Explanation

D is a 3x2 matrix, which would have no value d2,3 as there are not 3 columns.

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25. I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.B asterisk times A equals A asterisk times B 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Submit
26. The matrix multiplication of QK would deliver a product matrix with the order 1x2

Explanation

3x2 & 2x2 = will give a 3x2 not a 2x3

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27. I have a square matrix A with a determinant that is not zero.A space asterisk times space A to the power of minus 1 end exponent equals space A 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Submit
28. I have a 2x2 matrix A with a determinant that is not zero. B is 1x2 matrix. I is the identity matrix.B asterisk times I equals B asterisk times A asterisk times A to the power of minus 1 end exponent 

Explanation

A times it's inverse is always I - the identity matrix.
A x the inverse of A = the inverse of A x A = I

Submit
29. The determinant for the above matrix is 15. What is the value of x?

Explanation

ad-bc = 0 ... so ... substitute the values into the determinant formuata and isolate the x.

Submit
30. Select all the statements which are true below

Explanation

not-available-via-ai

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What is the determinant for the above matrix?
If we call the matrix above 'A', does the inverse of A exist?
The determinant for the above matrix is zero. What is the value of x?
AK is undefined, but KA is defined.
What is the determinant for the above matrix?
What is the determinant for the above matrix?
P is a row matrix.
I have a square matrix A with a determinant that is not zero. 
The determinant for the matrix above is 26. The missing number is a...
If we call the matrix above 'A', does the inverse of A exist?
Matrix A and Matrix D are equal matrices
AK is undefined, but KA is defined.
I have a 2x2 matrix A with a determinant that is not zero. B is 1x2...
Q is a column matrix.
I have a square matrix A with a determinant that is not zero. I is the...
I have a square matrix A with a determinant that is not zero. I is the...
The product matrix of DA will be a 2x3 matrix
The determinant for the above matrix is -15. What is the value of x?
Matrix K has a determinant of 3.
There are two matrices for which a determinant may be derived
What is the determinant for the above matrix?
P is a row matrix.
The determinant for the matrix above is 44. The missing number is a...
The element could be the value 5.
I have a 2x2 matrix A with a determinant that is not zero. B is 1x2...
The matrix multiplication of QK would deliver a product matrix with...
I have a square matrix A with a determinant that is not zero. 
I have a 2x2 matrix A with a determinant that is not zero. B is 1x2...
The determinant for the above matrix is 15. What is the value of x?
Select all the statements which are true below
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