Solution:
We first reduced the matrix to a row echelon form
By
By
By
By
The nonzero rows in the row echelon form of are linearly independent .
form a basis for
In the row reduced form of the first and the second column are pivot columns.
The first and the second column of the original matrix form a basis for column space of
form a basis for
basis for the row space of A and its Let A (a) Find dimension 1 1 2 12 o to -S (6) Find a basis for the column Space of A and Its dimensiun (c) Find a bars for the onell space of A and the A @ Find the rank op
1 3 -2 -5 2 11 1. Let A= 3 9 -5 -13 6 3 1 -2 -6 8 18 -1 -1 (a) Find a basis for the row space of A, i.e. Row(A). (b) Find a basis for the column space of A, i.e. Col(A). (c) Find a basis for the null space of A, i.e. Null(A). (d) Determine rankA and dim(Null(A)).
Let A 2 3 4 - 1-6 -20 3 6 -9 5 3 -2 7 Find each of the following bases. Be sure to show work as needed. 1 Find a basis for the null space of A. b. Find a basis for the column space of A. c. Find a basis for the row space of A. d. Is [3 2 -4 3) in the row space of A? Explain your reasoning.
In Matlab A= 3 -5 6 ( 15 7 9 13 5 -4 12 10 2 8 11 4 1 For the matrix A in problem-2, use MATLAB to carry out the following instructions a. Find the maximum and minimum values in each column. b. Find the maximum and minimum values in each row. c. Sort each column in ascending order and store the result in an array P. d. Sort each row in descending order and store the result...
Problem 1 Let A= 3 2 13 1 5 7 11 8 -3 9 10 -6 -4 12 8 a) [4 pts) Find a basis for N(A) in rational format. b) (3 pts) Find a particular solution to the matrix equation A*x= 5 -2 14 c) [3 pts] Use your answers in a), b) and the Superposition Principle to express the general solution in vector form to the matrix equation in b).
Please be as detailed as possible. Find a basis for the row space and the rank of the matrix. r-2-8 8 5 З 12-12-4 -2 -8 89 (a) a basis for the row space [1,4,-4,0;0,0,0,1 (b) the rank of the matrix No Response)2 Find a basis for the row space and the rank of the matrix. r-2-8 8 5 З 12-12-4 -2 -8 89 (a) a basis for the row space [1,4,-4,0;0,0,0,1 (b) the rank of the matrix No Response)2
Linear Algebra. Question 11. Thanks for helping! 2 3 -2 -4 64 46 4 5 -4 9 2 -4 4 5 M-3 6 6 -4 Given -2 -4 491 & 11- Find basis for row space ofM, &M2 R(M)&R(M2) N(M)& N(M2) Find basis for Nullity ofM,&M, Show that R(M)&RM) are orthogonal N(M)&N(M;) Show that the column space of M, is the same as row space ofM Show that the column space of Mi Is orthogonal to Nullity ofM What is...
3. (7pts). Let S ,2, 3, 4, 5, 6, 7, 8, 9, 10 be our Sample space and A 1,2, 3, 4, 5, 6) and B Calculate the sets of: 5, 6, 7, 8, 9) be two sets of elements ofS AUB (AUB) (AnB)
Let U - (7, 8, 9, 10, 11, 12, 13, 14, 15, 16). A - 17, 9, 11, 13, 15), B = {8, 10, 12, 14, 16), and C (7, 8, 10, 11, 14, 15). List the elements of each set. (Enter your answers using roster notation Enter EMPTY or for the empty set.) (a) Anonco (6) AU BUBNC (c) (A U BY C
12313werqw Honey 9 6 14 14 15 12 13 14 7 10 11 14 9 12 13 13 5 5 9 6 7 8 14 7 13 DM 5 5 12 6 11 7 13 7 7 5 6 5 9 5 13 11 13 7 10 8 control 2 4 4 3 1 9 7 4 9 8 2 8 6 4 2 5 Calculate the mean, median and mode for each of the data (Honey, DM and Control)....