1 - 2 If T is defined by T(x) = Ax, find a vector x whose image under Tis b, and determine whether x is unique. Let A = 1 -5 and b= - 16 5 - 11 25 -4 Find a single vector x whose image under T is b.

If an unknown vector X satisfies the relations X·b = β and X×b = c, express X in termsof β, b, and c. It will be helpful to decompose X along the three perpendicular directions along b,c, and b×c.

If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine 1-4-8 whether x is unique. Let A = and b = - -4 10 14 -2 Find a single vector x whose image under T is b. x=

↓ 1-3 3 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine whether x is unique. Let A = | 0 1 2-7 6 b = -3 Find a single vector x whose image under T is b. X = 16 6 1 | wrong - 3 | and

Solve the problem. Describe all solutions of Ax = b, where 2-5 31 A = -2 6-5 70 and b = 310 Describe the general solution in parametric vector form. -3 G -8-17-0

Let y 18 = = || -91 -3 and u 5 4 -2 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2 orthogonal to u. x₂ = ts ||

The following question is from linear algebra first year: Factors the vector (6, -5, -1)t into three components a,b,c that satisfy the following conditions: a depends on (2,0,1)t, b depends on (1,2, 0)t and c is orthogonal to a and b. Please show it step by step. Can we get integers as answers?

Suppose the vector x characterizing the antigenic state of an influenza virus population changes from one season to the next according to the equation 23 Xt + 1 ¹ -[3.39]** 0 0.9 If the vector in the current season is [...] what was the vector in the previous influenza season? ↓ 1

Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3) such that V₁ V₁ = 42, V₂ · V₂ = 542, V3 V3 = 36, -126, w - V₂ - 2710, w - V3 w. • V₁ then w= v₁+ = = = -36, V2+ V3.

what does the t mean t(1,1,1) vectors