Reduce the matrix A = -2 15 1 -5 My first row operation is Use the following notation (with actual numbers in place of "i", "j", and "k") when entering your row operations: (1) To swap row i and row j, type: "Ri <> Rj". For instance, use "R1 <> R2" to swap rows 1 and 2. (2) To multiply row i by k, type: "kRi". For instance, use "1/2R1" to multiply row 1 by 1/2. (3) To replace row i with itself plus (or minus) k times row j, type: "Ri + kRj" (or "Ri - kRj"). For instance, use "R1-3R2" to subtract three times row 2 from row 1 and replace row 1 with the result. My second row operation is My third row operation is -29 12 to RREF by applying 4 elementary row operations. My fourth row operation is , and it yields: and it yields: , and it yields: and it yields the RREF: You will need to enter something in every answer box in order for your answer to be checked. If you are able to reduce the matrix to RREF with fewer than the prescribed number of row operations, then fill in any extra row operation boxes with "R1<>R1", "1R2", or a similar operation that doesn't actually change the matrix, and then copy your RREF in the extra matrix spaces.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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Reduce the matrix A
=
My first row operation is
-2 15
-5
My third row operation is
-
Use the following notation (with actual numbers in place of "i", "j", and "k") when entering your row operations:
(1) To swap row i and row j, type: "Ri <> Rj". For instance, use "R1 <> R2" to swap rows 1 and 2.
(2) To multiply row i by k, type: "KRi". For instance, use "1/2R1" to multiply row 1 by 1/2.
(3) To replace row i with itself plus (or minus) k times row j, type: "Ri + kRj" (or "Ri - kRj"). For instance, use "R1-3R2" to subtract three times row 2 from
row 1 and replace row 1 with the result.
My second row operation is
My fourth row operation is
-29
12
to RREF by applying 4 elementary row operations.
and it yields:
and it yields:
and it yields:
and it yields the RREF:
1
You will need to enter something in every answer box in order for your answer to be checked. If you are able to reduce the matrix to RREF with fewer than
the prescribed number of row operations, then fill in any extra row operation boxes with "R1<>R1", "1R2", or a similar operation that doesn't actually
change the matrix, and then copy your RREF in the extra matrix spaces.
Transcribed Image Text:Reduce the matrix A = My first row operation is -2 15 -5 My third row operation is - Use the following notation (with actual numbers in place of "i", "j", and "k") when entering your row operations: (1) To swap row i and row j, type: "Ri <> Rj". For instance, use "R1 <> R2" to swap rows 1 and 2. (2) To multiply row i by k, type: "KRi". For instance, use "1/2R1" to multiply row 1 by 1/2. (3) To replace row i with itself plus (or minus) k times row j, type: "Ri + kRj" (or "Ri - kRj"). For instance, use "R1-3R2" to subtract three times row 2 from row 1 and replace row 1 with the result. My second row operation is My fourth row operation is -29 12 to RREF by applying 4 elementary row operations. and it yields: and it yields: and it yields: and it yields the RREF: 1 You will need to enter something in every answer box in order for your answer to be checked. If you are able to reduce the matrix to RREF with fewer than the prescribed number of row operations, then fill in any extra row operation boxes with "R1<>R1", "1R2", or a similar operation that doesn't actually change the matrix, and then copy your RREF in the extra matrix spaces.
Expert Solution
Step 1: Given the information

The given matrix A equals open square brackets table row cell negative 2 end cell 15 cell negative 29 end cell row 1 cell negative 5 end cell 12 end table close square brackets.

The aim is to find the reduced row echelon form of the matrix.

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