In Exercises 40 through 46, consider vectors in ; we are told that is the entry of matrix A.
Find , expressed as a scalar multiple of .
The required projection is
If V is a subspace of with an orthonormal basis thenlocalid="1659451887578"
For all in localid="1659436140715" .
Let us write the matrix in the notation.
Consider the terms below.
To obtain the span. Since it is a singleton vector. So by normalizing it. Therefore, an orthonormal basis will be.
So, according to the above theorem
Hence, the role="math" localid="1659438206334" .
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