Part 1: Calculate the dimension Given the following matrix: 1 1 A 4 3 -2 4...
1 1 4 1 J 1 4 1 14 -16 -7 1 -1 4 8 2 2 7 -1 A. Let S be the space spanned by A, that is S = span(A) then dim S= B. A basis for S is: [ B1 belongs to the basis B = © All rights re
1. 2. 3. 4. 5. Given that B = {[1 7 3], [ – 2 –7 – 3), [6 23 10]} is a basis of R' and C = {[1 0 0], [-4 1 -2], [-2 1 - 1]} is another basis for R! find the transition matrix that converts coordinates with respect to base B to coordinates with respect to base C. Preview Find a single matrix for the transformation that is equivalent to doing the following four transformations...
Please answer from part a through u The Fundamental Matrix Spaces: Consider the augmented matrix: 2 -3 -4 -9 -4 -5 6 7 6 -8 4 1 3 -2 -2 9 -5 -11 -17 -16 3 -2 -2 7 14 -7 2 7 8 12 [A[/] = 2 6 | -2 -4 -9 | -3 -3 -1 | -10 8 11 | 11 1 8 / 7 -10 31 -17 with rref R= [100 5 6 0 3 | 4...
4 1 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 10 3 0 0 1 -1 6 5 3 0 1 -3 0 -7 -2 0 -6 1 -2 0 0 0 1 -2 9 1-9 0 0 0 0 0 (a) Find p, q, r s t Nul A, Col A, Row A is a subspace of RP, R9, R', respectively Answer. p = 9= (b) Find a basis for Nul...
4 1 1. The matrix A and it reduced echelon form B are given below. 1-2 95 4 10 3 0 0 1 -1 6 5 3 0 1 -3 0 -7 -2 0 -6 1 -2 0 0 0 1 -2 91-9 0 0 0 0 0 (a) Find p, q, rs. Nul A, Col A, Row A is a subspace of R", R9, R', respectively Answer. p = 9=- (b) Find a basis for Nul A (c) Find...
Problem 2 A matrix A is given by 2 3 0 1 7 2 1 13 16 3 -5 -3 8 22 -1 -1 -11 -18 Find a basis for N(A) (the null space of A). Find a basis for RaneA) = C(A) (the range, or column space of A) Problem 2 A matrix A is given by 2 3 0 1 7 2 1 13 16 3 -5 -3 8 22 -1 -1 -11 -18 Find a basis for...
1 1. The matrix A and it reduced echelon form B are given below. 1 -2 9 5 4 1 0 3 0 0 -1 6 5 -3 0 1 -3 0 -7 A= ~B= -2 0 -6 1 -2 0 0 1 -2 4 9 1 -9 0 0 0 0 0 (a) Find p, q, r s.t Nul A, Col A, Row A is a subspace of RP, R9, R”, respectively o 1 Answer. p = a =...
Suppose that 4 3 -225 3 3 -3 2 6 -2 -2 2-1 5 In the following questions you may use the fact that the matrix B is row-equivalent to A, where 1 0 1 0 1 0 1 -2 0 5 0 0 01 3 (a) Find: the rank of A the dimension of the nullspace of A (b) Find a basis for the nullspace of A. Enter each vector in the form [x1, x2, ...]; and enter your...
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...
3. You are given the following matrix -4 12 2 7 a)4 points) Find a basis for the nullspace of (b) 4 points] Using the columns of A, find a basis for the column space of A (c) [2 points What are the dimensions of these spaces? (d) [2 points] ls the vector u-I1-1 0 ојт in the nullspace of A? Why? (e) [4 points] Is the vector w-17-9 9-9]T İn the column space of A? If so, express w...