Need help solving these two problems
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Need help solving these two problems Let A--1 1 4 | and B=| 0 3 | . For the partition of A below, find all of the pa...
please anyone answer all the questions as soon please 2 4 3 3 4 1. Given...
please anyone answer all the questions as soon please
2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Problem 2 [2 4 6 81 Let A 1 3 0 5; L1 1 6 3 a) Find a basis for the nullspace of A b) Find the basis for the rowspace of A c) Find the basis for the range of A that consists of column vectors of...
Problem 2 [2 4 6 81 Let A 1 3 0 5; L1 1 6 3 a) Find a basis for the nullspace of A b) Find the basis for the rowspace of A c) Find the basis for the range of A that consists of column vectors of A d) For each column vector which is not a basis vector that you obtained in c), express it as a linear combination of the basis vectors for the range of...
Please explain as detailed as possible, thank you! 1. Let S={0, 1, 2, 3, . ....
Please explain as detailed as possible, thank you!
1. Let S={0, 1, 2, 3, . . . , 150). and let A={x E S | x+100 E S} Write the roster notation of the set A. Also, find the cardinality of the set A. 2. For each natural number n, let An be the interval An (0,2/n) and let Bn be the interval Determine the following: (b) Un1Bn 3. Let the universal set be S = {1, 2, 3, 4,...
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10...
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10 (11 points) The matrix A= 2 1 3 2 7 reduces to R= 0 3 1 a 6 5 0 1 Let ui, , 13, 144, and us be the columns of U. (a) Determine, with justification, whether each of the following sets is linearly independent or linearly dependent. i. {u1, 12, 13) ii. {u1, 13, us} iii. {u2, 13} iv. {u1, 12, 13,...
(3 points) Let A= [ 1 -2 (1 2 -4 2 0 -4 3 -3 11...
(3 points) Let A= [ 1 -2 (1 2 -4 2 0 -4 3 -3 11 2 10 0 -8 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? where a € R. Find the value...
Hello, I need help solving this linear algebra problem. 1. Let L be the set of...
Hello, I need help solving this linear algebra problem. 1. Let L be the set of all linear transforms from R3 to R2. (a) Verify that L is a vector space. (b) Determine the dimension of L and give a basis for L.
Having difficulties with 3 problems Solving initial value problems with Laplace Transforms 1) ?′′−4?′−5?=3?^3, ?(0)=3, ?′(0)=3...
Having difficulties with 3 problems Solving initial value problems with Laplace Transforms 1) ?′′−4?′−5?=3?^3, ?(0)=3, ?′(0)=3 2) ?′′−6? +9?=4−?(?−7), ?(0)=2, ?′(0)=0 and 3) Find the inverse Laplace Transform of (4s + 2)/(s^2 + 6s + 34)
And its row echelon form (verify ) is given by 1-3 4-2 5 0 01 3- what is the nullity of A without...
Need answer 11~13，as detailed as possible please
and its row echelon form (verify ) is given by 1-3 4-2 5 0 01 3- what is the nullity of A without solving null space? Let p 3+2r+. Find (p)s, the corrdinates of p relative to S. Find the transition matrix P such that [tle = Plula.. Given lula, = (2,3, 1) what is lul? Determine the bases for row space and column space and the rank of the matrix A 11....
Let B= {[3]• [4]) and c = ( ) [1]} be two basis for R. (1)...
Let B= {[3]• [4]) and c = ( ) [1]} be two basis for R. (1) Suppose Find x, y, are these vectors equal? What does this mean geometrically? i.e. draw x and y in a plane as a linear combination of vectors in B and C. (2) Let u Find the corresponding coordinate vectors us and ſuc. What does this mean geometrically? (3) Find the change of coordinate matrix Pg and use Pg to compute us from part (2).
Review 4: question 1 Let A be an n x n matrix. Which of the below...
Review 4: question 1 Let A be an n x n matrix. Which of the below is not true? A. A scalar 2 is an eigenvalue of A if and only if (A - 11) is not invertible. B. A non-zero vector x is an eigenvector corresponding to an eigenvalue if and only if x is a solution of the matrix equation (A-11)x= 0. C. To find all eigenvalues of A, we solve the characteristic equation det(A-2) = 0. D)....
please anyone answer all the questions as soon please
2 4 3 3 4 1. Given three points A = (0,–8, 10), B = (2, -5, 11), C = (-4,-9, 7) in R3. (a) Show that these three points are not collinear (not in a straight line). (b) Find the area of the triangle ABC. (c) Find the scalar equation of the plane containing the points A, B and C. (d) Find a point D on the plane such that...
Problem 2 [2 4 6 81 Let A 1 3 0 5; L1 1 6 3 a) Find a basis for the nullspace of A b) Find the basis for the rowspace of A c) Find the basis for the range of A that consists of column vectors of A d) For each column vector which is not a basis vector that you obtained in c), express it as a linear combination of the basis vectors for the range of...
Please explain as detailed as possible, thank you!
1. Let S={0, 1, 2, 3, . . . , 150). and let A={x E S | x+100 E S} Write the roster notation of the set A. Also, find the cardinality of the set A. 2. For each natural number n, let An be the interval An (0,2/n) and let Bn be the interval Determine the following: (b) Un1Bn 3. Let the universal set be S = {1, 2, 3, 4,...
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10 (11 points) The matrix A= 2 1 3 2 7 reduces to R= 0 3 1 a 6 5 0 1 Let ui, , 13, 144, and us be the columns of U. (a) Determine, with justification, whether each of the following sets is linearly independent or linearly dependent. i. {u1, 12, 13) ii. {u1, 13, us} iii. {u2, 13} iv. {u1, 12, 13,...
(3 points) Let A= [ 1 -2 (1 2 -4 2 0 -4 3 -3 11 2 10 0 -8 (a) Find a basis for the column space of A. Answer: { Enter your answer as a vector or a list of vectors in parentheses separated by commas. For example (1,2,3,4),(5,6,7,8) (b) What is the dimension of the row space of A? (c) What is the dimension of the solution space of A? where a € R. Find the value...
Need answer 11~13，as detailed as possible please
and its row echelon form (verify ) is given by 1-3 4-2 5 0 01 3- what is the nullity of A without solving null space? Let p 3+2r+. Find (p)s, the corrdinates of p relative to S. Find the transition matrix P such that [tle = Plula.. Given lula, = (2,3, 1) what is lul? Determine the bases for row space and column space and the rank of the matrix A 11....
Let B= {[3]• [4]) and c = ( ) [1]} be two basis for R. (1) Suppose Find x, y, are these vectors equal? What does this mean geometrically? i.e. draw x and y in a plane as a linear combination of vectors in B and C. (2) Let u Find the corresponding coordinate vectors us and ſuc. What does this mean geometrically? (3) Find the change of coordinate matrix Pg and use Pg to compute us from part (2).
Review 4: question 1 Let A be an n x n matrix. Which of the below is not true? A. A scalar 2 is an eigenvalue of A if and only if (A - 11) is not invertible. B. A non-zero vector x is an eigenvector corresponding to an eigenvalue if and only if x is a solution of the matrix equation (A-11)x= 0. C. To find all eigenvalues of A, we solve the characteristic equation det(A-2) = 0. D)....
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