d the orthogonal projection ŷ of y = 5 0 -5 = = Span u₁ = {-----})}) 4 , = 2 -4 onto the 3
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- Find the particular number of orthogonal transectories of x2+cy2=1 passing through the point (2,1)Show that the vectors are linearly dependent or linearly independent. note: {2t^2 − 1, t + 1},P2:The space of all polynomials with a degree less than 2 and 2Find the orthogonal projection of v= [15 8 0] onto the subspace V of R^3 spanned by [-1 -2 -2] and [2 0 6]
- Find the orthogonal projection of 9e1 onto the subspace of ℝ4 spanned by <2, 2, 1, 0> and <-2, 2, 0, 1>.Line with equation 2x 3y = 6 is a subspace of R2. O True FalseFor which real values of A do the following vectors form a linearly dependent set in R³? V₁ = 1₂ V2= V3 X₁ = 1 3' 3 1 (-₁^,-) = 1 3 2 3 - 1/3,^) A₂ =
- Find the orthogonal projection of 7 = projw(): 2 -3 -3 onto the subspace W spanned by -5Compute the orthogonal projection of u'onto v. Use the square root symbol 'V' where needed to give an exact value for your answer. -2 -3 t =| 2 7= 1 6 3 projzt = |0Find a basis of the subspace of R' defined by the equation -5x1- 5x2+ 2x3 = 0. Basis: