Determinants Online Test

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Determinants

Description: This quiz is designed to assess your understanding of determinants, a fundamental concept in linear algebra. Each question presents a different scenario or problem related to determinants. Your task is to select the correct answer from the provided options. Good luck!
Number of Questions: 15
Created by: Aliensbrain Bot
Tags: linear algebra determinants matrices

What is the determinant of a 2x2 matrix?

The product of the diagonal elements
The sum of the diagonal elements
The difference of the diagonal elements
The product of the off-diagonal elements

What is the determinant of a 3x3 matrix?

The sum of the diagonal elements
The product of the diagonal elements
The difference of the diagonal elements
None of the above

What is the determinant of the identity matrix?

0
1
-1
None of the above

What is the determinant of a triangular matrix?

The product of the diagonal elements
The sum of the diagonal elements
The difference of the diagonal elements
None of the above

What is the determinant of a matrix with a zero row or column?

0
1
-1
None of the above

What is the determinant of the transpose of a matrix?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The reciprocal of the determinant of the original matrix
None of the above

What is the determinant of a matrix that is the product of two other matrices?

The product of the determinants of the two matrices
The sum of the determinants of the two matrices
The difference of the determinants of the two matrices
None of the above

What is the determinant of a matrix that is the inverse of another matrix?

The reciprocal of the determinant of the original matrix
The negative of the determinant of the original matrix
The same as the determinant of the original matrix
None of the above

What is the determinant of a matrix that is similar to another matrix?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The reciprocal of the determinant of the original matrix
None of the above

What is the determinant of a matrix that is obtained by adding a multiple of one row to another row?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The determinant of the original matrix multiplied by the scalar
None of the above

What is the determinant of a matrix that is obtained by interchanging two rows?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The determinant of the original matrix multiplied by -1
None of the above

What is the determinant of a matrix that is obtained by multiplying a row by a scalar?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The determinant of the original matrix multiplied by the scalar
None of the above

What is the determinant of a matrix that is obtained by adding a multiple of one column to another column?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The determinant of the original matrix multiplied by the scalar
None of the above

What is the determinant of a matrix that is obtained by interchanging two columns?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The determinant of the original matrix multiplied by -1
None of the above

What is the determinant of a matrix that is obtained by multiplying a column by a scalar?

The same as the determinant of the original matrix
The negative of the determinant of the original matrix
The determinant of the original matrix multiplied by the scalar
None of the above

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