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Show that following system of linear equations is inconsistent: `3x-y-2z=2,\ \ 2y-z=-1,\ \ 3x-5y=3`

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To show that the given system of linear equations is inconsistent, we will use the concept of the determinant of the coefficient matrix. If the determinant is zero, it indicates that the system does not have a unique solution, which may imply inconsistency. ### Given Equations: 1. \( 3x - y - 2z = 2 \) (Equation 1) 2. \( 2y - z = -1 \) (Equation 2) 3. \( 3x - 5y = 3 \) (Equation 3) ### Step 1: Write the Coefficient Matrix (A) and Constant Matrix (B) ...
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RD SHARMA-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-Solved Examples And Exercises
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