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This is an old quiz, to generate a new one for you :
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Quiz: linear algebra
1. What is the definition of a vector?
A matrix with only one row
A matrix with only one column
A matrix with equal number of rows and columns
A matrix with more than one row and column
Correct answer: b
2. What is the result of scalar multiplication of a vector?
A scalar
A matrix
Another vector
A tensor
Correct answer: c
3. What is the dot product of two vectors?
A vector
A matrix
A scalar
A tensor
Correct answer: c
4. What is the transpose of a matrix?
Swapping rows and columns
Adding rows and columns
Multiplying rows and columns
Removing rows and columns
Correct answer: a
5. What is the determinant of a 2x2 matrix?
The sum of its diagonal elements
The product of its diagonal elements
The difference of its diagonal elements
The ratio of its diagonal elements
Correct answer: b
6. What is the rank of a matrix?
The number of rows in the matrix
The number of columns in the matrix
The number of non-zero rows in the matrix
The number of non-zero columns in the matrix
Correct answer: c
7. What is the eigenvalue of a matrix?
A scalar that represents a scaling factor
A vector that represents a scaling factor
A matrix that represents a scaling factor
A tensor that represents a scaling factor
Correct answer: a
8. What is the inverse of a matrix?
A matrix that when multiplied with the original matrix gives the identity matrix
A matrix that when added to the original matrix gives the zero matrix
A matrix that when subtracted from the original matrix gives the zero matrix
A matrix that when divided by the original matrix gives the identity matrix
Correct answer: a
9. What is the solution to a system of linear equations with no solution?
A unique solution
An infinite number of solutions
No solution exists
Cannot be determined
Correct answer: c
10. What is the dimension of the null space of a matrix?
The number of rows in the matrix
The number of columns in the matrix
The number of non-zero rows in the matrix
The number of non-zero columns in the matrix
Correct answer: d
This is an old quiz, to generate a new one for you :
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