3 Consider the following system of linear equations 3Z X 2x 2y 5z X 2Z 1 2 0 a Write down the coefficient matrix A i e the

Question

3 Consider the following system of linear equations 3Z X 2x 2y 5z X 2Z 1 2 0 a Write down the coefficient matrix A i e the matrix of coefficients of the above syster and determine A 0 4 2 2 4 b Show that AA and A A I where is the 3 x 3 identity matrix c Use A to solve the system d Evaluate Al by expanding by the second column e Use Cramer s rule to solve the above system

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