You get a bonus - 1 coin for daily activity. Now you have 1 coin

A system of two linear algebraic equations

Lecture



The system of two linear equations:

a 1 x + b 1 y = c 1 ,
a 2 x + b 2 y = c 2 .


Several cases are considered, depending on the coefficients ak, bk, ck.

1. If det = a1b2 - a2b1 ≠ 0, the system has a unique solution:

A system of two linear algebraic equations

2. If det = 0 and a1c2 - a2c1 = 0, the system has an infinite number of solutions:

A system of two linear algebraic equations

3. If det = 0 and a1c2 - a2c1 ≠ 0, the system has no solutions.

Comments

To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS

Terms: HANDBOOK ON MATHEMATICS, SCHOOL MATHEMATICS, HIGHER MATHEMATICS