Let A =-9 279and w=3[³]Determine if w is in Col(A). Is w in Nul(A)?Determine if w is in Col(A). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The vector w is not in Col(A) because Ax=w is an inconsistent system. One row of the reduced echelon form of the augmentedmatrix [A 0] has the form [0 0 b] where b =B. The vector w is in Col(A) because Ax=w is a consistent system. One solution is x =C. The vector w is not in Col(A) because w is a linear combination of the columns of A.D. The vector w is in Col(A) because the columns of A span R².Is w in Nul(A)? Select the correct choice below and fill in the answer box to complete your choice.A)The vector w is not in Nul(A) because Aw=B) The Vector W is in Nul(A) because AW=

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Answered: -9 27 Let A = [ ]-[:] -3 9 and w=…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Determine if the columns of the matrix form a linearly independent set. 13 - 3 1 27-3 -5 28 3 - 11 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The columns of the matrix do not form a linearly independent set because the set contains more vectors, (Type whole numbers.) than there are entries in each vector, B. The columns of the matrix do not form a linearly independent set because there are more entries in each vector, than there are vectors in the set, (Type whole numbers.) C. Let A be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, Ax = 0, has only the trivial solution. O D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another. "
Determine if the columns of the matrix form a linearly independent set. 1 3-3 6 3 10 -7 12 28 0-6 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. The columns of the matrix do not form a linearly independent set because the set contains more vectors, , than there are entries in each vector, (Type whole numbers.) O B. The columns of the matrix do not form a linearly independent set because there are more entries in each vector, , than there are vectors in the set, (Type whole numbers.) O C. Let A be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, Ax=0, has only the trivial solution. O D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another.
Please help!! Also, if possible give an explanation with the solution.
Let A = 3 - 3 12 - 12 does have a solution. and b = b2 Show that the equation Ax = b does not have a solution for some choices of b, and describe the set of all b for which Ax = b How can it be shown that the equation Ax = b does not have a solution for some choices of b? A. Find a vector x for which Ax=b is the identity vector. B. Row reduce the augmented matrix A b to demonstrate that [a b] has a pivot position in every row. C. Find a vector b for which the solution to Ax=b is the identity vector. D. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. E. Row reduce the matrix A to demonstrate that A has a pivot position in every row. Describe the set of all b for which Ax=b does have a solution. The set of all b for which Ax = b does have a solution is the set of solutions to the equation 0 = (Type an integer or a decimal.) b₁ + b₂.
Hello. Please answer the attached Linear Algebra question correctly and completely. Please show all of your work. *If you answer the question correctly and show all of your work, I will give you a thumbs up. Thanks.
3 4 3 3. Compute AB if A = -2 and B = -3 -1 1 -6 (b) Show that First Row of AB is linear combination or of rows of B c) Show that Second column of AB is linear combination of clomns of A
For which value of k is { (1, 2, 3), (1, 0, 1), (2, k, 8) } a linearly dependent set?
Let A = -6-30 -8 30] We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A. times the first row to the second. To do this we add We conclude that A. The columns of A are linearly independent. B. The columns of A are linearly dependent. C. We cannot tell if the columns of A are linearly independent or not.

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