Reduce the following matrices to row echelon form and row reduced echelon forms:(i)begin{bmatrix}1 & p & -1 2 & 1 & 7 -3 & 3 & 2 end{bmatrix}(ii) begin{bmatrix}p & -1 & 7&2 2 & 1 & -5 & 3 1 & 3 & 2 & 0 end{bmatrix}*Find also the ra of these matrices.*Notice:p=4

Kaycee Roche 2021-02-22 Answered

Reduce the following matrices to row echelon form and row reduced echelon forms:
(i)[1p1217332](ii)[p17221531320]
*Find also the ra
of these matrices.
*Notice: p=4

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Expert Answer

mhalmantus
Answered 2021-02-23 Author has 106 answers
Step 1
i) Let the matrix be, A=[141217332]
Apply R2R22R1
[141079332] Apply R3R3+3R1
[1410790151]
Step 2
Apply R3R3+157R2
[141079001287]
Apply R217R2
[1410179001287]
Step 3
Apply R37128R3
[1410179001]
This is the Row Echelon Form of the matrix.
Also, the rank of this matrix A is 3.
Apply R1R14R2
[101990179001]
Step 4
Apply R1R1199R3
[1000179001]
Apply R2R2+79R3
[100010001]
This is the Reduced Row Echelon Form of the given matrix.
Step 5
ii) Let the matrix be represented as, B=[417221531320]
Apply R1R3
[132021534172]
Apply R2R22R1
[132005934172]
Step 6
Apply R3R34R1
[1320059301312]
Apply R215R2
Jeffrey Jordon
Answered 2022-01-23 Author has 2027 answers

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