linear_transformation

Jun 17th, 2015
Studypool Tutor
Simpson University
Course: general
Price: $20 USD

Tutor description

Miss Julie cannot be stated as tragic heroic. She has to bow down before the social forces which were beyond her control. Jean accepted the naturalist views of the society.

Word Count: 202
Showing Page: 1/6
Question #3(a)Clearly T has a linear transformationKernel of T is the set of all vectorsx1x2in R2such that(*)T(x1x2)=0R2This yields the equation1x1+1x21x1+0x2=00The matrix equation above is equivalent to the followinghomogeneous system of equationsWe now transform the coefficient matrix of the homogeneous system above to the reduced row echelon form to determine the solution space.1110can be transformed by asequence of elementary row operationsto the matrix1001The reduced row echelon form of the augmented matrix is1001which corresponds to the system1x1=01x2=0The leading entries in the matrix have been highlighted in yellow.x1=0x2=0This meansthe kernel consists only of the zero vector, and consequently has no basis.CommentsThenullityof T is 0. This is the dimension of the kernel of L.T is aone-to-onetransformation since ker T = {0R2}.T is not a one-to-oneonto ransformation.Question #1 T=R3 _ R3T(x)=A(x) A X12 11-1 12 1 1X 21-4 0-31 Question # 2References http://www.calcul.com/http://www.cse.scu.edu/~atkinson/teaching/su08/247/exam1.pdfhttp://matrixcalc.org/en/slu.htmlhttps://www.easycalculation.com/operations-research/learn-gauss-jordan-elimination.php

Review from student

Studypool Student
" Excellent work as always thanks so much "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1831 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors