is onto is o Describe the possible echelon forms of the standard matrix for a linear transformation T where T: R Give some examples of the echelon forms. The leading entries, denoted , may have any n...
Describe the possible echelon forms of the following matrix. A is a 3 x 3 matrix with linearly independent columns. Select all that apply. (Note that leading entries marked with an X may have any nonzero value and starred entries (*) may have any value including zero.) B. A. 0 X * 0 0 X X 0 X C. D. le: X 0 X 0 C X 0 0 0 0 X 0
i need help with these two questions. it is from linear algebra Describe the possible echelon forms of the following matrix. A is a 2x2 matrix with linearly dependent columns. Select all that apply. (Note that leading entries marked with an X may have any nonzero value and starred entries may have any value including zero.) A. Х * B. 0 X 0 0 0 X C. х * D. 0 0 0 0 0 1 5 4 -5 -8...
List all or the possible echelon forms or the standard matri for a linear transformation : 3 → that is one to one. Use for pivot positions for en nes that may have any value and must be 0. Enter the matrices as a list separated by commas. Here is an example of the form that the answer should be in; this answer is very incorrect though: II.[0,01] for entries that entered as [IP,o1.[P.ll List all or the possible echelon...
5. (8 pts) Suppose B is a 4 x 5 matrix, and the associated linear transformation T(E) Bd, is onto. (a) (3) Find dim Nul(B) (b) (2) Does Ba 5 have a unique solution for every B (c) (3) Give a geometric interpretation to the solution set of Bt- 0 5. (8 pts) Suppose B is a 4 x 5 matrix, and the associated linear transformation T(E) Bd, is onto. (a) (3) Find dim Nul(B) (b) (2) Does Ba 5...
s={(8.60) :) :) is a basis of M3x2(R)? (d) (1 point) The set = {(1 9:(. :) : 6 1) (1 1) (1 :) :()} is linearly independent. (e) (1 point) For a linear transformation A:R" + Rd the dimension of the nullspace is larger than d. (f) (1 points) Let AC M4x4 be a diagonal matrix. A is similar to a matrix A which has eigenvalues 1,2,3 with algebraic multiplicities 1,2, 1 and geometric multiplicities 1,1, 1 respectively. 8....