Complete parts A-F for matrix A, and vector b given below [3 -9 12 -9 6 15 A = 3 -7 8 -5 8 9,b= 9 0 3 -664-5 (a) Find the reduced row echelon form of the augmented matrix Ax=b by hand and write the solution as a linear combination of vectors. (b) Identify the null space of A? (c) What is the dimension of the null space? (d) Find a matrix, R, with dimensions 6 x 3 such that AR = 0(Note: Matrix R cannot be the 0 matrix.)
Complete parts A-F for matrix A, and vector b given below [3 -9 12 -9 6 15 A = 3 -7 8 -5 8 9,b= 9 0 3 -664-5 (a) Find the reduced row echelon form of the augmented matrix Ax=b by hand and write the solution as a linear combination of vectors. (b) Identify the null space of A? (c) What is the dimension of the null space? (d) Find a matrix, R, with dimensions 6 x 3 such that AR = 0(Note: Matrix R cannot be the 0 matrix.)
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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I'm really just having trouble with part D, since R cant be the zero matrix but we must have zero at the end, does that mean we have to turn it into the identity matrix (im assuming identity is zero?). so then does that mean R needs to be the inverse? im not sure
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