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find for what values of k, the equations x+y+z=1,x+2y+4z=k,x+4y+10z=k² have a solution and solve them completely in each case
Asked by peethanibindusri | 11 Nov, 2023, 05:06: PM
Given system of simultaneous linear equations are

If we write above equations in matrix form , then we have

Where    ,   X = and

Condition for above system of simultaneous linear equation to have unique solution is

determinant of matrix A should not be zero.

But if we try to found the matrix of A , we get determinant zero .

Hence , this system of simultaneous linear equation does not have unique solution.

Answered by Thiyagarajan K | 11 Nov, 2023, 07:41: PM

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