HW 1e 0907

HW 1e 0907 - MATH 53700 HW 1e 09/07/2011 1. Use the...

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MATH 53700 HW 1e 09/07/2011 1. Use the Gauss-Jordan Method to find the inverse of A 8 4 3 2 1 1 1 2 1 - = 2. Find the rank of the matrices (i) 2 1 0 5 0 3 1 4 - (ii) 1 2 3 2 4 7 3 6 10 (iii) 1 3 4 5 1 2 6 7 1 5 0 10 3. Determine the rank of the matrix A = 6 1 3 8 4 2 6 1 10 3 9 7 16 4 12 15 - by reducing it to the normal form. 4. Find non-singular matrices P and Q such that PAQ is in the normal form for the matrix A 1 1 1 1 1 1 3 1 1 - - = 5. Show that the equations 2 3,3 2 1,2 2 3 2, 1 x y z x y z x y
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HW 1e 0907 - MATH 53700 HW 1e 09/07/2011 1. Use the...

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