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Question 44037This question is from textbook College Algebra
: Write the augmented matrix for each system of equations
x + 3y = 5
y - 4z = 8
-2x = 5z = 7
This question is from textbook College Algebra
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! Write the augmented matrix for each system of equations
x + 3y = 5.................EQN.I
y - 4z = 8.................EQN.II
-2x + 5z = 7.................EQN.III...I CORRECTED IT AS +5Z..YOU TYPED =5Z
TO WRITE AUGMENTED MATRIX
1.WRITE THE EQNS.SYSTEMATICALLY PUTTING X,Y,Z ETC.(UNKNOWNS/VARIABLES) TERMS IN ORDER ON THE L.H.S.FOLLOWED BY = AND THEN THE CONSTANTS ON THE R.H.S.FOR EACH EQUATION.TILL YOU GAIN EXPERIENCE PUT ZERO*X..OR...0*Y...OR...0*Z ETC,IF X/Y/Z ARE ABSENT
2.NOW PUT coefficients of x,y,z etc in different columns and add last column with constants...FROM ONE EQN. IN EACH ROW.
3.WE GET AS MANY ROWS AS THERE ARE EQNS. AND AS MANY COPLUMNS AS THERE ARE UNKNOWNS PLUS ONE ADDITIONAL COLUMN FOR CONSTANTS.HERE WE HAVE 3 EQNS. AND 3 UNKNOWNS.HENCE WE GET 3 ROWS AND 3+1=4 COLUMNS.
THE AUGMENTED MATRIX IS
|1,3,0,5|
|0,1,-4,8|
|-2,0,5,7|
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