Question

The goal is to compute the row echelon form of the matrix $A = egin{bmatrix} 66 & 33 & 3 & -17 \ -24 & -12 & 0 & 7 \ 6 & 3 & 1 & -1 end{bmatrix}$. Remember the allowed operations on the rows. egin{tabular}{|l|l|} hline Row Operation \ (Type this) & Meaning \ (Get this) \hline AddRow(A,i,j,k) & $row_i + k cdot row_j o row_i$ \hline SwapRow(A,i,j) & Interchange row $i$ and row $j$ \hline MultiplyRow(A,i,k) & $k cdot row_i o row_i$ \hline end{tabular} a) Use the following application to answer the question. Enter a row operation in the appropriate box and click Execute to perform the operation. You can click on Reset to start over again from the beginning. $A = egin{bmatrix} 66 & 33 & 3 & -17 \ -24 & -12 & 0 & 7 \ 6 & 3 & 1 & -1 end{bmatrix}$ Row operation: Reset Execute b) Write the row operations that you have found in (a) to find the echelon form of A in the format [first operation, second operation, ...]. For example, if the operations you chose were to multiply the first row of A by 3 and then, in the resulting matrix, add 5 times row 1 to row 2, you would type [MultiplyRow(A,1,3), AddRow(A,2,1,5)], including the square brackets. (There are many correct answers possible.)

          The goal is to compute the row echelon form of the matrix $A = egin{bmatrix} 66 & 33 & 3 & -17 \ -24 & -12 & 0 & 7 \ 6 & 3 & 1 & -1 end{bmatrix}$. Remember the allowed operations on the rows.

egin{tabular}{|l|l|} hline
Row Operation \ (Type this) & Meaning \ (Get this) \hline
AddRow(A,i,j,k) & $row_i + k cdot row_j 	o row_i$ \hline
SwapRow(A,i,j) & Interchange row $i$ and row $j$ \hline
MultiplyRow(A,i,k) & $k cdot row_i 	o row_i$ \hline
end{tabular}

a) Use the following application to answer the question. Enter a row operation in the appropriate box and click Execute to perform the operation. You can click on Reset to start over again from the beginning.

$A = egin{bmatrix} 66 & 33 & 3 & -17 \ -24 & -12 & 0 & 7 \ 6 & 3 & 1 & -1 end{bmatrix}$

Row operation: 

Reset
Execute

b) Write the row operations that you have found in (a) to find the echelon form of A in the format [first operation, second operation, ...].
For example, if the operations you chose were to multiply the first row of A by 3 and then, in the resulting matrix, add 5 times row 1 to row 2, you would type [MultiplyRow(A,1,3), AddRow(A,2,1,5)], including the square brackets. (There are many correct answers possible.)

The goal is to compute the row echelon form of the matrix A = eginbmatrix 66 33 3 -17 -24 -12 0 7 6 3 1 -1 endbmatrix. Remember the allowed operations on the rows.

egintabular|l|l| hline
Row Operation (Type this) Meaning (Get this) AddRow(A,i,j,k) rowi + k cdot rowj o rowi SwapRow(A,i,j) Interchange row i and row j MultiplyRow(A,i,k) k cdot rowi o rowi endtabular

a) Use the following application to answer the question. Enter a row operation in the appropriate box and click Execute to perform the operation. You can click on Reset to start over again from the beginning.

A = eginbmatrix 66 33 3 -17 -24 -12 0 7 6 3 1 -1 endbmatrix

Row operation:

Reset
Execute

b) Write the row operations that you have found in (a) to find the echelon form of A in the format [first operation, second operation, ...].
For example, if the operations you chose were to multiply the first row of A by 3 and then, in the resulting matrix, add 5 times row 1 to row 2, you would type [MultiplyRow(A,1,3), AddRow(A,2,1,5)], including the square brackets. (There are many correct answers possible.)

Added by Lisa K.

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