Question 1 (1 point) Let A be the matrix defined below. -8 8 -8 1 -9...
Question 3 (2 points) Let A be the matrix defined below. 8 8 -8 1 -9 7 7 4. 3 -7 -9 A= 6 4 9 -4 5 -5 5 6 -1 7 7 -7 -7 0 Suppose we know that 1 0 5 0 0 1 2 3 0 1 3 RREFA= 0 0 0 1 - 1 0 0 0 0 0 0 0 0 0 0 Find the dimension of the null space of A.
Question 2 (1 point) The set B below is a basis for P2. Find the coordinate vector of p(t) 3+t - 6t relative to B = {1-tt-t,2 – 2t+t} O 7 -3 o co 1 6 O 3 t 6t O 13 -10 Question 3 (2 points) Let A be the matrix defined below. -8 8 -8 1 -9 7 -7 7 4 3 A= 6 -9 4 9 -4 5 -5 5 6 -1 -7 -7 -7 0 Suppose...
Matrix Methods/Linear Algebra: Please show all work and justify the answer! 3 -6 9 0 1 -2 0 -6 3. Let A= 2 -4 7 2 The RREF of Aiso 0 1 2 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for Null A, the null space of A.
(1 point) Let 1-13 153:) -4 -6 6 9 Find a basis for the null space of A. { (1 point) Find the value of k for which the matrix 8 10 -9 A= 4 -4 -9 6 k has rank 2. k=
Question 17 (2 points) Let A be a 3 x 4 matrix with a column space of dimension 2. What is the dimension of the row space of A? Not enough information has been given. O 1/2 3 2. Question 16 (2 points) The rank of the matrix 1 2 - 1 2 4 2 1 2 3 is 02 O none of the given options Question 15 (2 points) Which of the following is not a vector space because...
Question 1 (10 points) Let S be the transformation whose matrix is A, and let T be the transformation whose matrix is B, where A and B are the matrices below. Find the matrix C for the transformation resulting from Sfollowed by T. -34 16 -6 -2 A = 2 5 B = 9-1-7 2 0 0 0 0 C = 000 0 0 0
#9 6.4.10 Question Help Find an orthogonal basis for the column space of the matrix to the right. - 1 co 5 -8 4 - 2 7 1 -4 -4 An orthogonal basis for the column space of the given matrix is O. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3 -7 -2 -2 1 Let A = 2 -7 -1 1 1 3 and B 1 -4 -9 -5 -3 -5 5 -6 -11 -9 -1 0 0 0 0 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 7 -2 -7 -4 -11 2 -9 -6 -7 -3 0 1 0 0...
2 3 -6 9 0 1 -2 0 3. Let A= 2 -4 7 2 The RREF of A iso 0 1 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for Null A, the null space of A. (d) (2 points) What is the dimension of the null space of A?
Matrix Methods/Linear Algebra: Please show all work and justify the answer! Just need Part C, the null Space and Part D please. 3 -6 9 0 1 -2 0 -6 3. Let A= 2 -4 7 2 The RREF of Aiso 0 1 2 3 -6 6 -6 0 0 0 (a) (6 points) Find a basis for Col A, the column space of A. 0 (b) (2 points) What is rank A? (c) (6 points) Find a basis for...