Prove that if the sum of the elements of each row(column) of a square matrix A is zero, then | 5AA^T| = 0 Prove: If the entries in each row of an n \times n matrix A add up to zero, then the determinant of A is zero. (Hint:...
百度试题 结果1 题目If A is an n × n matrix whose eigenvalues are allnonzero, then A is nonsingular.A.正确B.错误 相关知识点: 试题来源: 解析 A 反馈 收藏
So A(p)A(p) is symmetric matrix. Then my question is, if A(p)A(p) is not the zero matirx, then A(p)A(p) has nonzero eigenvalues? I understand this statement as "If A(p)≠0A(p)≠0, then all eigenvalues of A(p)A(p) are not zero ; equivalently...
百度试题 结果1 题目If AC=BC and C=0 (the zero matrix), then A=B.正确错误 相关知识点: 试题来源: 解析 B 反馈 收藏
Test if any matrix element is zero.
aThe determinant det(A) of a matrix A is non-zero if and only if A is invertible or, yet another equivalent statement, if its rank equals the size of the matrix. If so, the determinant of the inverse matrix is given by 定列式det (A)矩阵A是非零的,如果和,只有当A是可转位的或,另外...
百度试题 结果1 题目If AC=BC and C=O (the zero matrix), then A=B. 相关知识点: 试题来源: 解析 错误 反馈 收藏
Then what is the product of AB? Product of Matrices: The product of matrices is the same as the dot product. To apply the multiplication rule in matrices, the total of the columns in one matrix should be equivalent to the ...
百度试题 结果1 题目 For square matrix A, if there exist a number A and a non-zero vector{ such that Af=λ, then Ais an elgen value of A. 正确 B. 错误 相关知识点: 试题来源: 解析 A 反馈 收藏
There are many ways to find if a matrix is positive definite or not. One of the ways is computing the determinant of the matrix, and determinant of all its minor matrices. If all of them are positive we can say that the matrix is positive definite. ...