example 4 construct the augmented matrix how to use matrices solve systems of equations with 3 variables rref in calculator ex 8 solve the following system of equations 3x1 11x2 3x3 table of contents slide 3 solving linear systems of equations calculator methods example 1 3 matrices on the graphing calculator iii using rref to solve systems of equations 45 example 1 solving the following system of linear equations using the method of gaussian elimination solution starting with the augmented matrix ex 7 solve the following system of equations x1 2x2 3x3 example solve the system solution in solving systems of equations we perform comtions with 5 examplesuse matrices and your calculator solving systems with matrices example 1b representing systems as matrices ex 3 write an augmented matrix to represent the system shown how to write an augmented matrix for a linear system lesson transcript study com 2 matrix solution of systems by calculator write the system of equations as an augmented matrix edit input data 1 table of contents solving linear systems of equations calculator methods consider the following augmented matrix solving a system of equations with matrices jennarocca in previous lessons you saw how cramer s rule and inverses can be used to solve recall that we d like to use row operations on an augmented matrix to get it table of contents slide 2 solving linear systems of equations calculator methods the augmented matrix how to solve linear systems using gaussian elimination lesson transcript study com ex 9 solve the following system of equations 2x1 4x2 x3 table of contents slide 4 solving linear systems of equations calculator methods press 2nd quit table of contents slide 4 solving linear systems of equations calculator methods press enter 1 systems of linear equations matrices sections 4 2 4 3 after today s lesson you it is now an easy matter to find the solution to the original system of equations clearly we have 5 reduced row echelon form an rref matrix has 1 s down its main diagonal and 0 s augmented matrix method example 2 how to use matrices to solve systems of equations on a ti83 math wonderhowto solve the system using row reduction on a calculator 5 3 1 6 using the calculator to solve 9 4x 7 using subscripted variables sometimes instead of using diffe letters to represent the unknown quantities equations and its augmented matrix example 2 using elementary row operations to solve a linear system check point 3 use matrices to solve the system 2x example 2b write the augmented matrix and solve step 1 write example 8 solution cont d example 3a solve by using row reduction on a calculator the solution is 5 6 2 example 2a solving systems with an augmented matrix 1 which augmented matrix represents the following system 5 2 add on write the augmented matrix for the system and give its dimensions how to solve linear systems using gauss jordan elimination lesson transcript study com write an augmented matrix for the system of equations continued each number of the matrix has two inde the row index i and the because this matrix has been added onto it is sometimes called an augmented matrix now we will work on solving this same system by just using the matrix 1 matrices write and augmented matrix of a system of linear equations write the system from the augmented matrix solve systems of linear equations using row operations on a matrix row operations on a matrix are used to solve systems of how to use matrices solve systems of equations with 3 variables