What is the Definition of an Identity Matrix in Linear Algebra? An identity matrix, which is denoted by I, is a square matrix in which all elements of the principal diagonal are 1s and all the other elements are zeros. For any matrix A, AI = IA = A. It is also known as unit matr...
True or False: An elementary matrix is always a square matrix. If A is an invertible matrix, then (A^{-1})^T = (A^T)^{-1}. A. True B. False Does a matrix times itself give the identity matrix? A matrix A is not invertible if and only if 0 is...
百度试题 结果1 题目A square matrix A is called a singular matrix, if ( ) A. |A|=0 B. |A|=1 C. |A|=2 D. None of these 相关知识点: 试题来源: 解析 A 反馈 收藏
百度试题 结果1 题目If A is nonsingular square matrix, then B/A is equivalent to inv(A)*B.相关知识点: 试题来源: 解析 错误 反馈 收藏
1. Understanding the Given Equation: We know that for any square matrix A, the relationship between A and its adjugate adj(A) is given by: A⋅adj(A)=det(A)⋅In where In is the identity matrix of order n. 2. Identifying the Matrix Order: The given matrix ⎛⎜⎝400040004⎞...
If the statement is always true,explain why. If not, give examples.If A and B are 2 × 2 diagonal matrices, then AB = BA. 2A square matrix is a diagonal matrix if all elements not onthe principal diagonal are zero. So a 2 × 2 diagonal matrixhas the formA=[&a&0&0a.where a ...
Test Whether a Matrix is SquareTim Bergsma
百度试题 结果1 题目If A is a square matrix, then Ax=b has a unique solution if and only ifA |A| is not equal 0B |A| is equal to 0 相关知识点: 试题来源: 解析 A 反馈 收藏
The inverse of a matrix A is A⁻¹, just as the inverse of 2 is ½. We can solve equations by multiplying through by inverses; it's similar with matrices.
百度试题 结果1 题目 A square matrix is called skew-symmetric if AT = - A.42. Prove that if A is an n X n matrix, henA-A^TiS skew-symmetric. 相关知识点: 试题来源: 解析 A^7+A_6:(A-A^T)^T=A^T-A^T 反馈 收藏 ...