Find the orthogonal projection of v ⃗=(-7, -9, -6, 10) onto he subspace W spanned by{(-2,...

Question

Question

Find the orthogonal projection of v ⃗=(-7, -9, -6, 10) onto he subspace W spanned by{(-2, -2, -3, 4),(-3, -1, 4, -2)}.

I posted this question to my instructor:

"I have tried to use the calculation (v*u1)/(u1*u1)+(v*u2)/(u2*u2) and my result is [-223/55 -823/165 -1658/165 1954/165]"

and got this reply:

"You can only use the dot product formula if the basis vectors are orthogonal. In this case, they aren't."

math algebra

Answer 1

Answer #1

$11別しぐ3) (-2)+ (-1)(-2)+ (4) (th-t (-2)(4) (-2 2.75 {(-2,-1,-74), (^ (-7,-9,-G. ! 그의 32 수) Ths, given vector 哢 is v. ) 2 io$ i S S 5 si

Answer 2

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