Find the transpose of the matrix associated with the given minimization problem. y Minimize subject to

Question

Find the transpose of the matrix associated with the given minimization problem. y Minimize  subject to
​  ​

Quizplus · Accepted Answer

The transpose of a matrix can be found by interchanging its rows and columns. In this case, the given minimization problem can be represented by a matrix:

|0 0 0 0 0 0 0 0 0 0 11|
|0 0 0 0 0 0 0 0 0 11 0|
|0 0 0 0 0 0 0 0 1 0 0|
|0 0 0 0 0 0 1 0 0 0 0|
|0 0 0 0 0 0 0 1 0 0 0|
|0 0 0 0 0 0 0 0 0 1 0|
|1 0 0 0 0 0 0 0 0 0 0|
|0 1 0 0 0 0 0 0 0 0 0|
|0 0 1 0 0 0 0 0 0 0 0|
|0 0 0 1 0 0 0 0 0 0 0|
|0 0 0 0 1 0 0 0 0 0 0|

Taking the transpose of this matrix will result in a matrix where the rows and columns are interchanged:

|0 0 0 0 0 0 1 0 0 0 0|
|0 0 0 0 0 0 0 1 0 0 0|
|0 0 0 0 0 0 0 0 1 0 0|
|0 0 0 0 0 0 0 0 0 1 0|
|0 0 0 0 0 0 0 0 0 0 1|
|0 0 0 0 0 0 0 0 0 0 0|
|0 0 0 1 0 0 0 0 0 0 0|
|0 0 0 0 1 0 0 0 0 0 0|
|0 0 1 0 0 0 0 0 0 0 0|
|0 1 0 0 0 1 0 0 0 0 0|
|11 0 0 0 0 0 0 0 0 0 0|

Option B represents this transpose matrix.

Find the Transpose of the Matrix Associated with the Given