The equation $x + 2y + 3z = 1,$ $2x + y + 3z = 2,$ $5x + 5y + 9z = 4$ have
Unique solution
Infinitely many solutions
Inconsistent
None of these
(a) Here $|A| \ne 0$. Hence unique solution.
Solve the system of the following equations $\frac{2}{x}+\frac{3}{y}+\frac{10}{z}=4$ ; $\frac{4}{x}-\frac{6}{y}+\frac{5}{z}=1$ ; $\frac{6}{x}+\frac{9}{y}-\frac{20}{z}=2$
If the system of equations $k x+y+2 z=1$ ; $3 x-y-2 z=2$ ; $-2 x-2 y-4 z=3$ has infinitely many solutions, then $k$ is equal to ……….
Examine the consistency of the system of equations. $x+y+z=1$ ; $2 x+3 y+2 z=2$ ; $a x+a y+2 a z=4$
Solve system of linear equations, using matrix method. $4 x-3 y=3$ ; $3 x-5 y=7$
Solve system of linear equations, using matrix method.
$5 x+2 y=3$ $3 x+2 y=5$
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