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Suppose that A is a SxB matrix and Caa): a-1)(X-メーい(メ) [answer the next 3 qpueshons I Than the rank of A Is: A) 5 B) 4 c) 3 D) can't detarmme E ) none above b) Let W denote the solution set to the System. Yu Yu which of the folhwwing must always be trwe?. A) W contains exactly only w has infinite vectors I vector c) W has more than I, but only fimitely many vectors D) W contans exactly 1 non-zano vech E) none C) If the ranm of I-A is at most 2, then A) the rows of 3I-A are linearly indrependant I-A can be transtarmed bu ERDS nto I C) Ais not invertible D) A is diagohalizable of the abore none

Suppose that A is a SxB matrix and Caa): a-1)(X-メーい(メ) [answer the next 3 qpueshons I Than the rank of A Is: A) 5 B) 4 c) 3 D) can't detarmme E ) none above b) Let W denote the solution set to the System. Yu Yu which of the folhwwing must always be trwe?. A) W contains exactly only w has infinite vectors I vector c) W has more than I, but only fimitely many vectors D) W contans exactly 1 non-zano vech E) none C) If the ranm of I-A is at most 2, then A) the rows of 3I-A are linearly indrependant I-A can be transtarmed bu ERDS nto I C) Ais not invertible D) A is diagohalizable of the abore none

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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So this is 1 question that has 3 abc parts where you use that one equation to answer 3 questions, but I'm unsure if 3-part questions are allowed. If you can answer all three, feel free to not go too in-depth with the work so it's not too much for you. Thank you!

Suppose that A is a SxB matrix and Caa): a-1)(X-メーい(メ) [answer the next 3 qpueshons I Than the rank of A Is: A) 5 B) 4 c) 3 D) can't detarmme E ) none above b) Let W denote the solution set to the System. Yu Yu which of the folhwwing must always be trwe?. A) W contains exactly only w has infinite vectors I vector c) W has more than I, but only fimitely many vectors D) W contans exactly 1 non-zano vech E) none C) If the ranm of I-A is at most 2, then A) the rows of 3I-A are linearly indrependant I-A can be transtarmed bu ERDS nto I C) Ais not invertible D) A is diagohalizable of the abore none
Transcribed Image Text:Suppose that A is a SxB matrix and Caa): a-1)(X-メーい(メ) [answer the next 3 qpueshons I Than the rank of A Is: A) 5 B) 4 c) 3 D) can't detarmme E ) none above b) Let W denote the solution set to the System. Yu Yu which of the folhwwing must always be trwe?. A) W contains exactly only w has infinite vectors I vector c) W has more than I, but only fimitely many vectors D) W contans exactly 1 non-zano vech E) none C) If the ranm of I-A is at most 2, then A) the rows of 3I-A are linearly indrependant I-A can be transtarmed bu ERDS nto I C) Ais not invertible D) A is diagohalizable of the abore none
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