Question
Which of the following is not true
- Every skew-symmetric matrix of odd order is non-singular
- If determinant of a square matrix is non-zero, then it is non singular
- Adjoint of symmetric matrix is symmetric
- Ad joint of a diagonal matrix is diagonal
The correct answer is: Every skew-symmetric matrix of odd order is non-singular
Every skew symmetric matrix of odd order is singular. So option (a) is incorrect.
Related Questions to study
Which one of the following statements is true
Which one of the following statements is true
The inverse of is
The inverse of is
The inverse of matrix is
A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.
A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.
An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.
The inverse of matrix is
A real number multiplicative inverse is the number that, when multiplied by the original number, produces 1 (the identity). Because a× 1/a= 1 is the multiplicative inverse of a. When the inverse of a matrix is multiplied by a given matrix, it produces a multiplicative identity. For example, the inverse of a matrix A is A-1 and A.A-1=A-1.A=I, where I is the identity matrix.
A square matrix with one on the diagonal and zeros everywhere else is known as an identity matrix. Think of the identity matrix as the matrix's prime number.
An invertible matrix is one for which it is possible to calculate the inverse matrix and for which the determinant is not zero.