Q-1: Answer each of the following as True or False justifying your answers : a) The vectors v1 = (−1,2), v₂ = (−2,1) and v3 = (0,0) are dependent. b) If AATI then, AT = A-¹. = c) If A is invertible then, AT is invertible. d) If A is symmetric then A² + 2A is symmetric. e) The linear system 3x + 9y= 18' kx - y = 3 is independent at k = 1 글

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 22EQ
Question

solve this plz with justfuy

Q-1:
Answer each of the following as True or False justifying your answers :
a) The vectors v1
=
(−1,2), v₂ = (−2,1) and v3 = (0,0) are dependent.
b) If AATI then, AT = A-¹.
=
c) If A is invertible then, AT is invertible.
d) If A is symmetric then A² + 2A is symmetric.
e) The linear system 3x + 9y= 18'
kx - y = 3
is independent at k = 1
글
Transcribed Image Text:Q-1: Answer each of the following as True or False justifying your answers : a) The vectors v1 = (−1,2), v₂ = (−2,1) and v3 = (0,0) are dependent. b) If AATI then, AT = A-¹. = c) If A is invertible then, AT is invertible. d) If A is symmetric then A² + 2A is symmetric. e) The linear system 3x + 9y= 18' kx - y = 3 is independent at k = 1 글
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