Suppose L: R² R³ is defined by L the given bases. [L(u)]s, = [L(u)]B₂ = ~Q[*^~-{]}]}----(HH:) 000-000- . Let and B₂ = be ordered bases for R³. If u = find [L(u)]s, and [L(u)]8₂'' the coordinate vectors of L with respect to each of

Only solve for d(u,v). Thank you.

Suppose LMN->L'M'N'. If L(-8, 3) and L' is located at (-10, 8). What is the x value of the translation vector that maps LMN onto L'M'N'

T(x1,x2) = (6x1 - 8x2, -5x1 + 7x2)  Show that T is invertible and find a formulafor T^-1

Compute B- 2C',(-5/3)A, and AB.where 7 -1 2 A =3 5 4 \, B = 4 0 5 -2 7] 2 0 4 4 6 and C = %3D %3D 0 12 -5 39

Find of/ox and of/ay. f(x,y) = 2x²y of Ox of ду II

Let L be the line passing through the point P-(-4, 2, -1) with direction vector d--3, 1,-2] Find the shortest distance d from the point Po= (-3, 5, 4) to L, and the point Q on L that is closest to Po, Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q= (0.0.0)