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Questions and Answers
What is the order of a matrix?
What is the order of a matrix?
- The product of all elements in the matrix
- The sum of all elements in the matrix
- The number of rows and columns in the matrix (correct)
- The determinant of the matrix
What is a scalar matrix?
What is a scalar matrix?
- A matrix with different values in each row and column
- A matrix with all elements equal to 1
- A square matrix with all elements equal to 0
- A matrix where all diagonal elements are equal and non-diagonal elements are zero (correct)
When does the commutative law hold for matrix multiplication?
When does the commutative law hold for matrix multiplication?
- It does not hold in general (i.e., AB ≠ BA) (correct)
- It holds only for symmetric matrices
- It holds only for square matrices
- It always holds for any matrices A and B
What is the multiplicative identity of a matrix?
What is the multiplicative identity of a matrix?
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How is the determinant of a square matrix defined?
How is the determinant of a square matrix defined?
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