0-3 -2 1 5. let t(x) ax, where a b = -3 1 6 3 2 -2-1 find vector x whose image under t is b. determine whether x is unique. 1 -3 5-5 -1 let t(x) ax, where a , is b= in the range of t? 6. 0 5 1 -3 1 = -4 0 2 4-4 why or why not? -1-2 -l- transformation that maps x into x1v1+x2v2. find matrix of a such that tx ax for each x. r2 be a linear 7. let e and v and, let t: r2 = 8. show that t(x1,x2, x3) = (x1 -5x2 +4x3,x2-6x3) is a linear transformation by writing as a matrix máltiplication. find images under t of u v and 2u +3v, where u = t(x) -2 21 and v= 1 9. for what value (s) of k will the product ab ba if a and b 3 4 -1 -l31 4 compute the matrix ab. show that (ab)t = btat 10. if a= 2 and b -3