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What is the rank of the 3 x 4 matrix 1 1 2 0 A = 0 -2 2 0 0 1 -1 -1 1 (a) regarded as a matrix over R? (b) regarded as a matrix over F3? (c) regarded as a matrix over F2? Select one: O The ranks 3 in all cases The ranks are (a) 3 O The ranks are (a) 3 O (b) 3 (c) 2 (b) 2 (c) 1 The ranks are (a) 2 (b) 2 (c) 0 Rank 0 in all cases as the matrix is not invertible

What is the rank of the 3 x 4 matrix 1 1 2 0 A = 0 -2 2 0 0 1 -1 -1 1 (a) regarded as a matrix over R? (b) regarded as a matrix over F3? (c) regarded as a matrix over F2? Select one: O The ranks 3 in all cases The ranks are (a) 3 O The ranks are (a) 3 O (b) 3 (c) 2 (b) 2 (c) 1 The ranks are (a) 2 (b) 2 (c) 0 Rank 0 in all cases as the matrix is not invertible

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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What is the rank of the 3 x 4 matrix 1 1 2 0 A = 0 -2 2 0 0 1 -1 -1 1 (a) regarded as a matrix over R? (b) regarded as a matrix over F3? (c) regarded as a matrix over F2? Select one: O The ranks 3 in all cases The ranks are (a) 3 O The ranks are (a) 3 O (b) 3 (c) 2 (b) 2 (c) 1 The ranks are (a) 2 (b) 2 (c) 0 Rank 0 in all cases as the matrix is not invertible
Transcribed Image Text:What is the rank of the 3 x 4 matrix 1 1 2 0 A = 0 -2 2 0 0 1 -1 -1 1 (a) regarded as a matrix over R? (b) regarded as a matrix over F3? (c) regarded as a matrix over F2? Select one: O The ranks 3 in all cases The ranks are (a) 3 O The ranks are (a) 3 O (b) 3 (c) 2 (b) 2 (c) 1 The ranks are (a) 2 (b) 2 (c) 0 Rank 0 in all cases as the matrix is not invertible
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