Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

can you help me to solve thisRow-Reduced the following matrix into:A. Echelon Form

Can You Help Me To Solve ThisRowReduced The Following Matrix IntoA Echelon Form class=

Sagot :

Given:

[tex]\begin{bmatrix}{1} & {1} & {-1} & {-2} \\ {2} & {-1} & {1} & {5} \\ {-1} & {2} & {2} & 1 \\ & & & {}\end{bmatrix}[/tex]

First, add R1 to R3:

[tex]\begin{bmatrix}{1} & {1} & {-1} & {-2} \\ {2} & {-1} & {1} & {5} \\ {0} & {3} & {1} & -1 \\ & & & {}\end{bmatrix}[/tex]

Then, R2-2R1:

[tex]\begin{bmatrix}{1} & {1} & {-1} & {-2} \\ {0} & -{3} & {3} & {9} \\ {0} & {3} & {1} & -1 \\ & & & {}\end{bmatrix}[/tex]

Then, R3+R2:

[tex]\begin{bmatrix}{1} & {1} & {-1} & {-2} \\ {0} & -{3} & {3} & {9} \\ {0} & {0} & {4} & 8 \\ & & & {}\end{bmatrix}[/tex]

Therefore, the echelon form of the given matrix is:

[tex]\begin{bmatrix}{1} & {1} & {-1} & {-2} \\ {0} & {-3} & {3} & {9} \\ {0} & {0} & {4} & {8} \\ {} & {} & {} & {}\end{bmatrix}[/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.