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Let A E M₁ (R) be the matrix d₁ d₂ d3 d₁ 0 1 1 1 A: 1 0 1 1 1 1 0 1 where the first row consists of these numbers: 2,2,1,7 (a) Compute the determinant det(A). In order to get full marks you must show your working. (b) Decide whether or not A is invertible. (c) Is the solution of the homogeneous linear system with coefficient matrix A unique? Justify your answer.

Let A E M₁ (R) be the matrix d₁ d₂ d3 d₁ 0 1 1 1 A: 1 0 1 1 1 1 0 1 where the first row consists of these numbers: 2,2,1,7 (a) Compute the determinant det(A). In order to get full marks you must show your working. (b) Decide whether or not A is invertible. (c) Is the solution of the homogeneous linear system with coefficient matrix A unique? Justify your answer.

Advanced Engineering Mathematics
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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Let A E M₁ (R) be the matrix d₁ d2 d3 d4 0 1 1 1 A = 0 1 1 1 1 0 1 where the first row consists of these numbers: 2,2,1,7 (a) Compute the determinant det(A). In order to get full marks you must show your working. (b) Decide whether or not A is invertible. (c) Is the solution of the homogeneous linear system with coefficient matrix A unique? Justify your answer.
Transcribed Image Text:Let A E M₁ (R) be the matrix d₁ d2 d3 d4 0 1 1 1 A = 0 1 1 1 1 0 1 where the first row consists of these numbers: 2,2,1,7 (a) Compute the determinant det(A). In order to get full marks you must show your working. (b) Decide whether or not A is invertible. (c) Is the solution of the homogeneous linear system with coefficient matrix A unique? Justify your answer.
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