Determinants

What is the term for a matrix that is equal to its transpose?

• Triangular matrix
• Identity matrix
• Symmetric matrix
• Diagonal matrix

What is the determinant of a zero matrix?

• The determinant is not defined for a zero matrix
• 0
• 1
• -1

Which type of matrix has all its elements below the main diagonal equal to zero?

• Diagonal matrix
• Identity matrix
• Triangular matrix
• Symmetric matrix

What is the transpose of a matrix?

• The sum of the elements
• The inverse of the elements
• The product of the elements
• The matrix flipped over its diagonal

What is the term for a matrix with all its diagonal elements equal to one and all other elements equal to zero?

• Identity matrix
• Triangular matrix
• Symmetric matrix
• Diagonal matrix

What is the result of multiplying any matrix by the identity matrix?

• A zero matrix
• The original matrix
• A symmetric matrix
• A diagonal matrix

What is the purpose of finding the transpose of a matrix?

• To change the rows and columns
• To perform matrix operations
• To solve linear systems
• To find the size of the matrix

What is the determinant of the identity matrix?

• 0
• -1
• The determinant is not defined for the identity matrix
• 1

What is the size of a matrix?

• The number of determinants
• The number of columns
• The number of rows
• The number of elements

What is the determinant of a triangular matrix?

• The difference of its diagonal elements
• The sum of its diagonal elements
• The quotient of its diagonal elements
• The product of its diagonal elements