MATHASSIGNMENT

FINAL EXAM Tmath 308 Spring 2021 Page 2 of I continued. We know the reduced row-echelon form for the matrices A and B. not the numeric components of the "original " vectors: Ap = 10 1 0 0 0 c. Are the vectors b,, by, b, linearly independent? Use the definition of linear independence to reach or justify your conclusion. (12) d. Suppose the matrices A = [a, a, a; a,] and B = [b, b2 by by] represent the operations of linear transformations on a rectangular coordinate vector space. (i) What is the domain of these transformations? Justify/explain (6) (ii) What is the kernel for each of these transformations? Justify/explain (12)