Let A be a [img=40x20]1803c4e60908a8b.png[/img]matrix, and the determinant of A is 0,then _________.
A: there must be a column of elements in A that are all 0
B: there must be a column in A that is a linear combination of the other column vectors
C: there must be two columns that are proportional to each other
D: any column vector in A is a linear combination of the remaining column vectors
A: there must be a column of elements in A that are all 0
B: there must be a column in A that is a linear combination of the other column vectors
C: there must be two columns that are proportional to each other
D: any column vector in A is a linear combination of the remaining column vectors
举一反三
- The product of two matrices ,AB is defined. Then each column of AB is a linear combination of the columns of B using weights from the corresponding columns of A.
- 14 In triple sequence table of sparse matrix, each triple represents ( ). A: the row number,column number and data value of non-zero elements in the matrix B: the data value of non-zero elements in the matrix C: the row and column numbers of elements in the matrix D: the row number,column number and data value of elements in the matrix
- Which one of the followings columns has the highest column efficiency? A: packed column B: WCOT column C: SCOT column D: PLOT column
- A is an [img=36x19]1803c4e61381e6b.png[/img] matrix and [img=12x14]1803c4e61b3a2fb.png[/img] is an n-dimensional column vector. If the [img=201x51]1803c4e628b33fd.png[/img], then the linear system ____________ A: [img=60x19]1803c4e6316cf85.png[/img] must have infinitly many solutions. B: [img=139x51]1803c4e63cf2009.png[/img]must have nontrivial solutions. C: [img=60x19]1803c4e6316cf85.png[/img] must have a unique solution. D: [img=139x51]1803c4e63cf2009.png[/img] only has nontrivial solutions.
- The cross-sectional area of each column is the same. Under the same conditions, the stability of the column is the best when the column adopts the cross-sectional shape shown in fig. （ ）.[img=549x158]1803a2588a00e24.jpg[/img] A: （a） B: （b） C: （c） D: （d）