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(2) Consider the matrix -6 -8 –1 3 4 A = -15 6 –10 - -2 8 (a) Find a row echelon form of A to find rank A. (b) Identify bases for Nullspace A, Colspace A and Colspace AT. (c) Now row reduce AT to check that rank AT (d) Find a basis for Nullspace AT and (another) basis for Rowspace A. rank A. |

(2) Consider the matrix -6 -8 –1 3 4 A = -15 6 –10 - -2 8 (a) Find a row echelon form of A to find rank A. (b) Identify bases for Nullspace A, Colspace A and Colspace AT. (c) Now row reduce AT to check that rank AT (d) Find a basis for Nullspace AT and (another) basis for Rowspace A. rank A. |

Advanced Engineering Mathematics
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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(2) Consider the matrix 2 -6 -8 -1 3 4 5 -15 -10 -2 8 (a) Find a row echelon form of A to find rank A. (b) Identify bases for Nullspace A, Colspace A and Colspace AT. (c) Now row reduce AT to check that rank AT = rank A. (d) Find a basis for Nullspace A" and (another) basis for Rowspace A.
Transcribed Image Text:(2) Consider the matrix 2 -6 -8 -1 3 4 5 -15 -10 -2 8 (a) Find a row echelon form of A to find rank A. (b) Identify bases for Nullspace A, Colspace A and Colspace AT. (c) Now row reduce AT to check that rank AT = rank A. (d) Find a basis for Nullspace A" and (another) basis for Rowspace A.
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