please give the correct answer with explanations, thank you Als a 3 x 4 matrix with...
Given the matrix A and its reduced row echelon form R, answer the following questions. 4 A 1 0 3 0 3 3 1 1406 1 1 4 1 8 2 1 7 2 13 9 R= 1 0 3 0 3 3 0110 31 000121 1000000 5 Find a basis for the column space of A and the row space of A. Ao Basis for column space of A: with a comma-separated list of vectors enclosed with braces {}....
please give the correct answer with explanations, thank you Let S {V1, V2, V3, V4, Vs} be a set of five vectors in R] Let W-span) When these vectors are placed as columns into a matrix A as A-(V2 V3 r. ws). and Asrow-reduced to echelon form U. we have U - -1 1 013 001 1 state the dimension of W Number 2. State a boss B for W using the standard algorithm, using vectors with a small as...
Given the matrix A and its reduced row echelon form R, answer the following questions. A= 10 20 3 4 1 1 60 7 6 11 6 1 10 10 2 1 8 2 16 18 R= 1 0 2 0 3 4 0 14 0 4 2 000134 000000 Find a basis for the column space of A and the row space of A. Basis for column space of A: with a comma-separated list of vectors enclosed with braces...
Given the matrix A and its reduced row echelon form R, answer the following questions. A= 1 02 03 4 1 1 6 0 7 6 1 1 6 1 10 10 2 1 8 2 16 18 R= (10 20 3 4 01 4 0 4 2 000134 000000 Find a basis for the column space of A and the row space of A. Use vector notation <21,22,..., Im >. Express your basis Basis for column space of A:...
[1 -1 0 0 -2 0] 1 4 -4 0 0 -8 0 (1 point) Let A = 10 0 -1 2 -3 3 . Find a basis for the row space of A, a basis for the column space of A, a basis for the null space 0 0 0 -3 0 -2 Lo 0 1 0 3 3] [1 -1 0 0 -2 01 0 0 1 0 3 0 of A, the rank of A, and the...
please give the correct answer with explanations, thank you Let T: R3 R3 be a function, or map, or transformation, satisfying -0-0-0-0--0-0 i) We can express -6 as a linear combination of the standard basis vectors, ie we can write 6 0 6 01 0 +02 0 where (21.02,031 Note: make sure to enter your coefficients inside square brackets (eg (1,2,3]). 0 6 -6 11) If TO 12 can T be a linear map? (Click for List) 6 12 Explain...
Question 3 please answer clearly. A matrix A and its reduced row echelon form are given as follows: [ 2 1 3 41 | 1 2 0 2 A= 3 21 12 | 3 -1 7 9 18 7 9 -4 and rref(A) = [ 1 0 201 0 1 -1 0 0 0 0 1 0 0 0 0 | 0 0 0 0 Use this information to answer the following questions. (a) Is the column vector u= in...
Consider the matrix 0 4 8 24 0-3-6 3 18 A-0 24 2 -12 0 -2-3 0 7 0 3 5 [51 [51 a) Find a basis for the row space Row(A) of A (b) Find a basis for the column space Col(A) of A (c) Find a basis space d) Find the rank Rank(A) and the nullity of A (e) Determine if the vector v (1,4,-2,5,2) belongs to the null space of A. - As always,[5 is for the...
please answer all questions and show all work thank you Math 310-2 HOMEWORK #6 Date Due 4/14/20 1 1 0 -2 1 0 0 -1 -3 1 3 1. Let A= | -2 -1 1 -1 3 1. The reduced row-echelon form 0 390 -12) /1 0 -2 0 1 0 1 3 0 - 4 of A is 1. Find the following: 1 0 0 0 1 -1 10 0 0 0 0 (a) A basis for the null...
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...