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Linear Algebra With Applications
Found in: Page 39
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

Question: Solve the linear system

| y+z=aX+z=bx+y=C|, where a,b and c are arbitrary constants.


The solution of the linear system is y+z=ay+z=by+y=c, x=b+c-a2,y=a+c-b2,z=a+b-c2 ,

See the step by step solution

Step by Step Solution

Step 1: Consider the system

Consider the linear system.


The matrix form of the system is,


 Step 2: Compute the system.

Consider the matrix,


Perform the row reduction operation.

011|1101|b110|c~0111101b11-2c-b-a 100b-a+c2010a-b+c2001a+b-c2

The values are, x=b+c-a2,y=a+c-b2,z=a+b-c2

Hence,y+z=ay+z=by+y=c, , x=b+c-a2,y=a+c-b2,z=a+b-c2 is the solution of the linear system, .

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