Question

16. Consider the following system of linear equation 2x - y + 3z =1, 3x +2y + 5z = 2 and-x + 4y + z = 3. The system of
equations has.
O A. No solution
OB. A unique solution
O C. More than one but finite number of solutions
D. An infinite number of solutions​

Answer 1

Answer:

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Step-by-step explanation:

c option

Answer 2

Step-by-step explanation:

Consider the system of $\mathrm{m}$linear equations

$a_{11} x_{1}+a_{12} x_{2}+\ldots+a_{1 n} x_{n}=b_{1}$

$a_{21} x_{1}+a_{22} x_{2}+\ldots+a_{2 n} x_{n}=b_{2}$

$a_{m 1} x_{1}+a_{m 2} x_{2}+\ldots+a_{m n} x_{n}=b_{m}$

The above equations containing the $n$ unknowns $x_{1}, x_{2}, \ldots, x_{n} .$

To determine whether the above system of equations is consistent or not, we need to find the rank of the following matrices.

Consider the homogeneous system of 3 linear equations x - 2y + z =0. x -2y -z =0. 2x -4y -5z =0​

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