Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations begin{cases}9x-3y+z=13 12x-8z=5 3x+4y-z =6 end{cases}

hexacordoK

hexacordoK

Answered question

2021-02-25

Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations {9x3y+z=1312x8z=53x+4yz=6

Answer & Explanation

irwchh

irwchh

Skilled2021-02-26Added 102 answers

For a system of equations {ax+by+cz=jdx+ey+fz=kgx+hy+iz=l
, the coefficient matrix is [abcdefghi] and the augmented matrix is [abcjdefkghil]
a) For the system {9x3y+z=1312x8z=53x+4yz=6a=9,b=3,c=1,d=12,e=0,f=8,g=3,h=4andi=1 so the coefficient matrix is [9311208341]
b) For the system {9x3y+z=1312x8z=53x+4yz=6a=9,b=3,c=1,d=12,e=0,f=8,g=3,h=4,i=1,j=13,k=5andl=6 so the coefficient matrix is [9311208341] so the augmented matrix is [93113120853416]

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