# Determine a, b E R so that the system 6x1 + (2a - 3)x2 + 4ax3...

###### Question: Determine a, b E R so that the system 6x1 + (2a - 3)x2 + 4ax3 + 3x4 = 2 + b 4x1 + (2a – 2)x2 + 2ax3 + 2x4 = 2 4x1 2x2 + (4a + 2)x3 + (2a + 2)x4 = 0 2x1 - x2 + (2a +3)x3 + 2ax4 = –26 – 2 has (i) a unique solution, (ii) infinitely many solutions, (iii) no solution. Justify your answer !

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