Write an equation that is a necessary constraint so that the matrix equation A = 6 has a solution. 1 -15 [b₁ -1 3 -4 and 6=b₂ b3 4 2 23 A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Write an equation that is a necessary constraint so that the matrix equation A = has a solution.
1 −1 5
[b₁
-1 3 -4
and b b2
4
2
23
b3
A
=
Transcribed Image Text:Write an equation that is a necessary constraint so that the matrix equation A = has a solution. 1 −1 5 [b₁ -1 3 -4 and b b2 4 2 23 b3 A =
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Step 1: Introduction

The given matrix equation is A x with rightwards arrow on top equals b with rightwards arrow on top, where:

A equals open square brackets table row 1 cell negative 1 end cell 5 row cell negative 1 end cell 3 cell negative 4 end cell row 4 2 23 end table close square bracketsb with rightwards arrow on top equals open square brackets table row cell b subscript 1 end cell row cell b subscript 2 end cell row cell b subscript 3 end cell end table close square brackets.

We need to find the necessary constraints so that the given matrix equation has a solution.

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