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, A² = 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 kx - y = 3 (3x+9y = 18' is independent at k =
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, A² = 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 kx - y = 3 (3x+9y = 18' is independent at k =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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