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Find a basis of Rn such that the matrix B of the given linear transformation T is diagonal.
Orthogonal Projection T onto the line in R^3 spanned by
(1 1 1)
I'm assuming (though I tend to be wrong) that I need to find a vector that is parallel to the line and 2 that are perpendicular to it and linearly independent.
So would the B matrix look something like this
1 -2 1
1 1 0
1 1 -1
?
Or am I once again way off track :)
Orthogonal Projection T onto the line in R^3 spanned by
(1 1 1)
I'm assuming (though I tend to be wrong) that I need to find a vector that is parallel to the line and 2 that are perpendicular to it and linearly independent.
So would the B matrix look something like this
1 -2 1
1 1 0
1 1 -1
?
Or am I once again way off track :)