Exercises 33 display a matrix A and an echelon form of A . Find a basis for ColA and a basis for Nul A. 33.A =1 4 8 -3 -7-1 2 73 4-2 295 5369-5 -21480 50 250-10 0 0 140000 0

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Answered: 33. A = 148 8-3 -7 -1 27 3 4 -2 29 5 5…

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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A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = 1 20 23 -3 -10 -1 5 12 2 -3 -2 5 17 5 -1 3 35 34 -6 -11 Find a basis for Col A 1 15 16 0 05 70-2 00 01 0 000 0 1 (Use a comma to separate answers as needed. Type an integer or simplified fraction for each time
A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = 57 64 23 3 - 26 4 2 - 12 14 Find a basis for Col A. 1 2 3 014 0 0 0 10 - 8 0
Determine whether the statement below is true or false. Justify the answer. Here, A is an mxn matrix. The dimension of Col A is the number of pivot columns in A. Choose the correct answer below. O A. The statement is true. The pivot columns of A form a basis for Col A. Therefore, the number of pivot columns of A is the same as the dimension of Col A. O B. The statement is false. The number of pivot columns determines the dimension of the null space, not the column space. C. The statement is false. The dimension of Col A cannot be determined without the size of matrix A. O D. The statement is true. The number of pivot columns is equal to the number of free variables in the equation Ax = 0. The number of free variables in Ax = 0 is equal to the dimension of the column space.
Find a basis for col(A) and nul(A) and state the dimension of each. -2-7 -3 9 A = 2 -6 4 8 3 -9-2 2
D,e,f
Exercises 31–34 display a matrix A and an echelon form of A . Find a basis for Col Aand a basis for Nul A .
Find a basis for Col A and Nul A for given matrix A. A row echelon form is also provided: 1 2 -5 0 –-1 1 -5 -1 -8 4 3 1 4 -3 -9 -7 -2 1 | 3 10 -7 11 7 0 0 0
Solve (c.) only,Do not need a.b. & d.If you need those ans ,you can find those on bartleby
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33. A = 148 8-3 -7 -1 27 3 4 -2 29 5 5 3 6 9 -5 -2 1 480 5 0250 0001 4 0000 0 50-1