Let x be a unit vector in R n . Partition x as Let X1 X2 %3

Let x be a unit vector in Rⁿ. Partition x as

Let

Prove that Q is orthogonal. (This procedure gives a quick method for finding an orthonormal basis for Rn with a prescribed first vector x, a construction that is frequently useful in applications.)

Transcribed Image Text:

X1 X2 х%3 X1 х y" х І- Уу y* т