Elementary row operations to reduce the augmented matrix, Mathematics

Consider the system of linear equations

X + ay = 1

2x + 8y = b

Where a and b are real numbers.

(a)  Write out the augmented matrix for this system of linear equations.  

(b)  Use elementary row operations to reduce the augmented matrix to row-echelon form.  

(c)  Determine for what values of a and b does the system have infinitely many solutions.  

(d)  Determine for what values of a and b does the system have no solution.  

(e)  Determine for what values of a and b does the system have an unique solution.

Posted Date: 2/22/2013 2:40:40 AM | Location : United States







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