Let A be an n× n matrix, with real valued entries, and suppose A is NOT invertible. Which of the following statments is true? 1) The columns of A are lienarly dependent. 2) The linear transformation given by A is injective. 3) The columnds of A span R“. 4) The lineaer transforamtion given by A is not surjective. 5) There is an nX n matrice D sich that AS = I„. Enter the numbers corresponding to the statements which are true into an array Ans in ascending order, and if none are true, use Ans = [NaN].
Let A be an n× n matrix, with real valued entries, and suppose A is NOT invertible. Which of the following statments is true? 1) The columns of A are lienarly dependent. 2) The linear transformation given by A is injective. 3) The columnds of A span R“. 4) The lineaer transforamtion given by A is not surjective. 5) There is an nX n matrice D sich that AS = I„. Enter the numbers corresponding to the statements which are true into an array Ans in ascending order, and if none are true, use Ans = [NaN].
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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Please Solve all parts otherwise you will be downvoted
![Let A be an n× n matrix, with real valued entries, and suppose A is NOT
invertible. Which of the following statments is true?
1) The columns of A are lienarly dependent.
2) The linear transformation given by A is injective.
3) The columnds of A span R“.
4) The lineaer transforamtion given by A is not surjective.
5) There is an n× n matrice D sich that AS = I„.
Enter the numbers corresponding to the statements which are true into an
array Ans in ascending order, and if none are true, use Ans =
[NaN].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc101bf70-8f71-49be-ab33-9621f268cd68%2Ff762f4e3-df4e-4294-85d4-5f859714369b%2Fxn1fpt_processed.png&w=3840&q=75)
Transcribed Image Text:Let A be an n× n matrix, with real valued entries, and suppose A is NOT
invertible. Which of the following statments is true?
1) The columns of A are lienarly dependent.
2) The linear transformation given by A is injective.
3) The columnds of A span R“.
4) The lineaer transforamtion given by A is not surjective.
5) There is an n× n matrice D sich that AS = I„.
Enter the numbers corresponding to the statements which are true into an
array Ans in ascending order, and if none are true, use Ans =
[NaN].
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