Question

Question 4: Finding a basis of the orthogonal complement Consider the matrix Find a basis of the orthogonal complement of the column space of . Basis [[0,1,-1],[1,1,0]] How to enter the solution: To enter your solution, place the entries of each vector inside of brackets, each entry separated by a comma. Then put all these inside brackets, again separated by a comma. Suppose your solutions is . Then please enter

Answer 1

Answer: hello your question is poorly written hence I will provide the required matrix

answer :

A =
`\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right]`

Explanation:

Given that the basis of the orthogonal complement have been provided already by you in the question I will have to provide the Matrix

The required matrix

`\left[\begin{array}{ccc}1&0&1\\0&1&1\\1&-1&0\end{array}\right]`

column1 = column 3 - column2

where column 3 and column 2 are the basis of the orthogonal complement of the column space of the Matrix