In this lesson, we will learn how to find the solution of a homogeneous system of linear equations and how to express the general solution in case of an infinite number of solutions.

Q1:

Which of the following systems of equations is homogeneous?

Q2:

Find the value of π that would make the equations 4π₯+9π¦+5π§=0, 16π₯+36π¦+ππ§=0, and 9π₯β8π¦β3π§=0 have a solution other than zero.

Q3:

Find all the solutions to the system of equations 10π₯β6π¦=0, β15π₯+9π¦=0.

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