worksheet1.pdf - Math 1300 Winter 2019 Lab B01\u2013B05 and B11\u2013B15 Worksheet1 1 1 Find the augmented matrix for each of the following systems of linear

# worksheet1.pdf - Math 1300 Winter 2019 Lab B01u2013B05 and...

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Math 1300 Winter 2019 Lab B01–B05 and B11–B15 Worksheet 1 # 1 1. Find the augmented matrix for each of the following systems of linear equations.(a)x+y-z=-13y-z=22x-2y+2z=1(b)x1+x2-x3=0x1+2x2=03x2+5x3 (c)y+z-w=1x-y-z-2w=22x-2y-2z+3w=12. Which matrices are in row-echelon form, reduced row-echelon form, both, or neither?(a)101010001(b)101011000(c)110020001(d)1011011200003. Each of the following matrices is a row-echelon form the augmented matrix of some systemof linear equations. Solve the system. If a matrix is not in RREF use back substitution.(a)100101020013(b)101101120000(c)1-10210112200000(d)10-10012300014. Solve each of the systems shown in Question 1 by using Gaussian elimination with back-substitution.5. Solve the following systems of equationsusing Gauss-Jordan elimination(a)u+2v-3w=4v-w=-12u+w=3(b)u-v+w=1v+2w=0u-4v-5w=2(c)x+y+2z+w=1x+2y+z+w=2x+3z+2w=3 1