The matrix of coefficients either have no solution or have infinite solutions is system of equations are
Answers
Matrix of the system of equations
As we all know that we will represent them in an exceeding matrix type, having a constant matrix increased by the variable matrix, and on the correct facet we've got the constant matrix, within the type AX=B.
Now suppose we've got a system of 3 such equations wherever the constant of a variable in one among the equations is unknown and that we have to be compelled to realize the condition on its variable such the given system has
Infinite solution:
The matrix equation can have infinitely several solutions. there'll be infinite answers if and as long as there's a minimum of one solution of the equation AX=0
No Solution:
Consider the matrix,
which has the values,
0x+0y+0z=−3
which is not possible, zero cannot equal -3. so this method of linear equations has no answer.
Unique Solution:
x=1 , y=3, z=−1
As you'll be able to see, every variable within the matrix will have just one doable price, and this can be however you recognize that this matrix has one distinctive answer
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