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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

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

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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