Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
b) Do the columns of the above matrix form a basis for R16? What about the rows, do the ows of A form a basis for R16? c) What is det(AT)?

b) Do the columns of the above matrix form a basis for R16? What about the rows, do the ows of A form a basis for R16? c) What is det(AT)?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.5: Determinants
Problem 28E
See similar textbooks
icon
Related questions
Question

what is the solution with steps for parts a,b,c?

(a) Compute the determinant of the A || following 16 × 16 matrix A: 0 0 [1 0 000 0 0-1 0 0 0 0 0 0 001000 0 0 0 0 0 2 0 0 0 0 0 0 0 0 10 00 1 0 -1 1 0 0 0 0 0 1/200 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 00 00 00 1 -1 1 1 1 0 OHO OLOLL 0 0 1 0 1 1 1 -1 -1 1 1 -3 4 17207HOOL TION NOO 720220-272032117 -720-178ITIO-22O OCH ZOO700-230071 0 1 -1 0 4 0 -1 1 1 0 1 -2 -2 0 -2-1 -4 -2 0 -46 1 0 HOTZOT-2103302-7 1 1230107222601077 -7-7---7-023-2-2 0-1 0 0 0 0 0 0 200 0006 0 0 0 3 000 00 0 0 0 0 1 000 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 000 0 0 2 -4
Transcribed Image Text:(a) Compute the determinant of the A || following 16 × 16 matrix A: 0 0 [1 0 000 0 0-1 0 0 0 0 0 0 001000 0 0 0 0 0 2 0 0 0 0 0 0 0 0 10 00 1 0 -1 1 0 0 0 0 0 1/200 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 00 00 00 1 -1 1 1 1 0 OHO OLOLL 0 0 1 0 1 1 1 -1 -1 1 1 -3 4 17207HOOL TION NOO 720220-272032117 -720-178ITIO-22O OCH ZOO700-230071 0 1 -1 0 4 0 -1 1 1 0 1 -2 -2 0 -2-1 -4 -2 0 -46 1 0 HOTZOT-2103302-7 1 1230107222601077 -7-7---7-023-2-2 0-1 0 0 0 0 0 0 200 0006 0 0 0 3 000 00 0 0 0 0 1 000 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 000 0 0 2 -4
Hint: Don't do cofactor expansion, try blocking the matrix off. (b) Do the columns of the above matrix form a basis for R16? What about the rows, do the rows of A form a basis for R16? (c) What is det(AT)?
Transcribed Image Text:Hint: Don't do cofactor expansion, try blocking the matrix off. (b) Do the columns of the above matrix form a basis for R16? What about the rows, do the rows of A form a basis for R16? (c) What is det(AT)?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS