Tutorial07 - Nanyang Technological University SPMS\/Division of Mathematical Sciences NTU H3 Numbers and Matrices 2013 Tutorial 7 1 Solve the linear

Tutorial07 - Nanyang Technological University...

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Nanyang Technological University SPMS/Division of Mathematical Sciences NTU H3 Numbers and Matrices 2013 Tutorial 7 1. Solve the linear system (a) by Gaussian elimination and the linear system (b) byGauss-Jordan elimination..(b)2x+y-2z-2u=-2 2. Find the equation of the curvey=ax2+bx+cwhich passes through (1,6), (2,11)and (-2,27). (Answer: 3. Consider the system of equationsx+y+2z=ax+z=b2x+y+3z=cFind condition(s) on on the constantsa, bandcfor this system to be consistent. 4. Solve the following homogeneous systems of linear equations.(a)2x1+x2+3x3=0x1+2x2=0x2+x3=0(b)2x+2y+4z=0w-y-3z=02w+3x+y+z=0-2w+x+3y-2z=0

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