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How can you identify a dependent or inconsistent system by looking at an augmented matrix in reduced row echelon form?
I bet it can be done, but I'll be darned if I can!
Which of the following 33 matrices are in reduced row-echelon form?
1 1 1 1 2 2 2 2 3 3 3 3
What is gauss eliminating method?
Consider a system of linear equations . Let be its coefficient matrix. elementary row operation.(i) R(i, j): Interchange of the ith and jth row.(ii) R(ci): Multiplying the ith row by a non-zero scalar c.(iii) R(i, cj): Adding c times the jth row to the ith row.It is clear that performing elementary row operations on the matrix (or on the equations themselves) does not affect the solutions. Two matrices and are said to be row equivalent if and only if one of them can be obtained from the other by performing a sequence of elementary row operations. A matrix is said to be in row echelon form the following conditions are satisfied:(i) The number of first consecutive zerosincreases down the rows.(ii) The first non-zero element in each row is 1.The process of performing a sequence of elementary row operations on a system of equations so that the coefficient matrix reduces to row echelon form is called Gauss elimination. When a system of linear equations is transformed using elementary row operations so the coefficient matrix is in row echelon form, the solution is easily obtained by back substitution.
What does the reagular word row mean?
It can mean to row a boat (a back and forth motion to move a boat using a special tool) , a row like a row of seats (a continous repetition of something like seats that form a line) , or a fight.
What is it when the first nonzero entry in each row of a matrix is one?
Nothing particular if all the 1s are in the first column, for example. You could have an echelon matrix, but with the information given, it is hard to tell.
