3. Starting with the matrix A, the following sequence of row operations produces the matrix B. • R₂ is replaced by R₂ - 3₁. • R3 is replaced by R3. • R4 is replaced by R4 + 5R₂. From matrix B, the following sequence of row operations produces the matrix C. • R4 is swapped with R₂. R₁ is replaced by -2R₁. If C = 2000 3 -2 4 -3 2 -1 0 0 - 2 1 1 3 find det A and det B.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.78TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 2, (b) Multiply...
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3. Starting with the matrix A, the following sequence of row operations produces the matrix
B.
R₂ is replaced by R₂ - 3₁.
• R3 is replaced by R3.
• R4 is replaced by R4 + 5R₂.
From matrix B, the following sequence of row operations produces the matrix C.
R4 is swapped with R₂.
• R₁ is replaced by -2R₁.
If C =
=
2
0-3
0
0
3 -2 4
2 -1
2 1
1 3
0
0
find det A and det B.
Transcribed Image Text:3. Starting with the matrix A, the following sequence of row operations produces the matrix B. R₂ is replaced by R₂ - 3₁. • R3 is replaced by R3. • R4 is replaced by R4 + 5R₂. From matrix B, the following sequence of row operations produces the matrix C. R4 is swapped with R₂. • R₁ is replaced by -2R₁. If C = = 2 0-3 0 0 3 -2 4 2 -1 2 1 1 3 0 0 find det A and det B.
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