The system of equations $$3$$ −$$2$$ $$15$$ −$$8$$ $$92$$ $$1$$ $$axyz=b3$$−$$1$$ has no solution if a and b are

Question

The system of equations  $$3$$    −$$2$$    $$15$$    −$$8$$    $$92$$    $$1$$    $$axyz=b3$$−$$1$$ has no solution if a and b are

Infinity Learn · Accepted Answer

The augmented matrix is given $$by(A$$∣$$B)=3$$    −$$2$$    $$1$$    $$b5$$    −$$8$$    $$9$$    $$32$$    $$1$$    a    −$$1Applying$$ $$R1$$→$$2R1$$−$$R2$$, we $$get(A$$∣$$B)$$~$$14$$−$$72b$$−$$35$$−$$89321a$$−$$1Applying$$ $$R2$$→$$R2$$−$$5R1$$,$$R3$$→$$R3$$−$$2R1$$, we $$get(A$$∣$$B)$$~$$14$$−$$72b$$−$$30$$−$$284418$$−$$10b0$$−$$7a+145$$−$$4bThe$$ system of equations will have no solution If−$$28$$−$$7=44a+14$$≠$$18$$−$$10b5$$−$$4b$$⇒ $$a+14=11$$ and $$20$$−$$16b$$≠$$18$$−$$10b$$⇒ $$a=$$−$$3$$ and b≠−$$1/3$$

The system of equations $(\begin{array}{rrr} 3 - 2 1 \\ 5 - 8 9 \\ 2 1 a \end{array}) (\begin{array}{l} x \\ y \\ z \end{array}) = (\begin{array}{r} b \\ 3 \\ - 1 \end{array})$ has no solution if a and b are

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The system of equations 3 −2 15 −8 92 1 axyz=b3−1 has no solution if a and b are

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The system of equations $(\begin{array}{rrr} 3 - 2 1 \\ 5 - 8 9 \\ 2 1 a \end{array}) (\begin{array}{l} x \\ y \\ z \end{array}) = (\begin{array}{r} b \\ 3 \\ - 1 \end{array})$ has no solution if a and b are