singular matrix
时间: 2023-10-31 12:27:21 浏览: 130
A singular matrix is a square matrix that does not have an inverse. In other words, if a matrix is singular, there exists no matrix B such that AB = BA = I, where I is the identity matrix. This means that the determinant of a singular matrix is zero. Singular matrices are important in linear algebra because they often represent systems of equations that do not have a unique solution, or they can be used to identify when a set of equations has no solution.
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Singular matrix
A singular matrix is a square matrix that does not have an inverse. In other words, if a matrix is singular, then it cannot be inverted. This means that there is no matrix B such that AB = BA = I, where A is the singular matrix and I is the identity matrix. Singular matrices are also known as degenerate matrices. In practical terms, a singular matrix represents a system of linear equations that does not have a unique solution or a matrix transformation that collapses the space of the original matrix.
解释singular matrix
奇异矩阵是指矩阵行列式的值为0的矩阵。行列式是一个标量值,它是由矩阵中元素的排列顺序决定的。如果一个矩阵的行列式等于0,则该矩阵不具有逆矩阵,因此它被称为奇异矩阵。具体来说,如果一个n x n矩阵的行列式等于0,那么这个矩阵就是奇异的。奇异矩阵在某些数学问题中是有用的,但是它们在矩阵求逆和解线性方程组等方面会带来问题。