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Questions and Answers
What is the condition for two matrices A and B to be equal?
What is the condition for two matrices A and B to be equal?
- They have the same number of columns and corresponding elements are equal
- They have the same number of rows and corresponding elements are equal
- They have the same number of rows and columns but not necessarily corresponding elements
- They have the same order and corresponding elements are equal (correct)
What is the order of the matrix [5 0 3]?
What is the order of the matrix [5 0 3]?
- 3×3
- 3×1
- 1×1
- 1×3 (correct)
What is the characteristic of a singleton matrix?
What is the characteristic of a singleton matrix?
- It has only one row and any number of columns
- It has only one element (correct)
- It has only one column and any number of rows
- It has only one row and one column
What is the order of the column matrix [[2][3][−6]]?
What is the order of the column matrix [[2][3][−6]]?
What is the notation used to represent the element at the ith row and jth column of a matrix A?
What is the notation used to represent the element at the ith row and jth column of a matrix A?
What is the arrangement of numbers enclosed by in a matrix?
What is the arrangement of numbers enclosed by in a matrix?
What is the notation used to represent a matrix?
What is the notation used to represent a matrix?
What is the condition for a square matrix to be a diagonal matrix?
What is the condition for a square matrix to be a diagonal matrix?
What is the number of zeros in a diagonal matrix of order n × n?
What is the number of zeros in a diagonal matrix of order n × n?
What is the notation for a diagonal matrix of order n × n with diagonal elements d1, d2,..., dn?
What is the notation for a diagonal matrix of order n × n with diagonal elements d1, d2,..., dn?
What is the characteristic of an identity matrix?
What is the characteristic of an identity matrix?
What is a solution of a system of equations?
What is a solution of a system of equations?
What is a consistent system of equations?
What is a consistent system of equations?
What is the rank of the matrix if x + c ≠0?
What is the rank of the matrix if x + c ≠0?
What is the matrix representation of the system of linear equations?
What is the matrix representation of the system of linear equations?
What is a homogeneous system of linear equations?
What is a homogeneous system of linear equations?
How many methods are there to solve a non-homogeneous system of linear equations?
How many methods are there to solve a non-homogeneous system of linear equations?
What is an example of a consistent system of linear equations?
What is an example of a consistent system of linear equations?
What is the matrix A in the system of linear equations AX = B?
What is the matrix A in the system of linear equations AX = B?
What is the echelon form of the matrix?
What is the echelon form of the matrix?
When is a system of linear equations guaranteed to have an infinite number of solutions?
When is a system of linear equations guaranteed to have an infinite number of solutions?
What is the purpose of reducing the augmented matrix to Echelon form in the rank method?
What is the purpose of reducing the augmented matrix to Echelon form in the rank method?
What is the relationship between the rank of A and the rank of [A : B] in a system of linear equations AX = B?
What is the relationship between the rank of A and the rank of [A : B] in a system of linear equations AX = B?
What is the condition for a system of linear equations to have a unique solution?
What is the condition for a system of linear equations to have a unique solution?
What is the purpose of finding the number of non-zero rows in A and [A : B] in the rank method?
What is the purpose of finding the number of non-zero rows in A and [A : B] in the rank method?
What is the purpose of reducing the augmented matrix to Echelon form in the rank method?
What is the purpose of reducing the augmented matrix to Echelon form in the rank method?
What is the condition for a system of linear equations to have a unique solution?
What is the condition for a system of linear equations to have a unique solution?
What is the rank of the matrix A if the system of linear equations AX = B has a unique solution?
What is the rank of the matrix A if the system of linear equations AX = B has a unique solution?
What is the condition for a system of linear equations to have an infinite number of solutions?
What is the condition for a system of linear equations to have an infinite number of solutions?
What is the determinant of the matrix A if the system of linear equations AX = B has no solution?
What is the determinant of the matrix A if the system of linear equations AX = B has no solution?
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