More Problems on Linear Systems and Matrices
Let us answer (1). Consider the augmented
matrix of the system
Let us do some row elementary operations. First take second Row
minus first row and third row minus 3 times first row, that is
So the original system is consistent if and only if
Next we answer (2). If
then we have
so the condition is satisfied. Therefore the system is
, then we have
so the system in this case is not consistent.
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