Consider the following linear equations are part of a homogeneous system; X3 – x, +2.x, + x, Зх, + 6х, +3х, — 3х, +2x, X +2x, + x, – X; 2x + 4х, — 2х, + 4х, — бх, — 5х, a) Find the rank of the matrix b) Find basic solutions and express the general solution as a linear combination of the basic solutions. (Please write your answer in the format given below: a) rank = x b) basic solutions are 1: [a b c d]; 2: [e f g h];
Consider the following linear equations are part of a homogeneous system; X3 – x, +2.x, + x, Зх, + 6х, +3х, — 3х, +2x, X +2x, + x, – X; 2x + 4х, — 2х, + 4х, — бх, — 5х, a) Find the rank of the matrix b) Find basic solutions and express the general solution as a linear combination of the basic solutions. (Please write your answer in the format given below: a) rank = x b) basic solutions are 1: [a b c d]; 2: [e f g h];
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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![Consider the following linear equations are part of a homogeneous system;
X3 – x, + 2x, +Xg
3x, + 6х, +3х, — 3х, +2х,
x +2x, + x, – xs
2.x, + 4x, – 2x, +4x, – 6x, - 5x,
a) Find the rank of the matrix
b) Find basic solutions and express the general solution as a linear
combination of the basic solutions.
(Please write your answer in the format given below:
a) rank = x
b) basic solutions are
1: [a b c d];
2: [e fg h];](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F465865f2-cc66-4db6-9d66-f2c32e0faf7b%2F1ee41008-a989-4d92-b19f-7be615e37d70%2F1i7i4ye_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following linear equations are part of a homogeneous system;
X3 – x, + 2x, +Xg
3x, + 6х, +3х, — 3х, +2х,
x +2x, + x, – xs
2.x, + 4x, – 2x, +4x, – 6x, - 5x,
a) Find the rank of the matrix
b) Find basic solutions and express the general solution as a linear
combination of the basic solutions.
(Please write your answer in the format given below:
a) rank = x
b) basic solutions are
1: [a b c d];
2: [e fg h];
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