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.

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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...

See similar textbooks

Similar questions

Perform the needed row operation that will get the first entry in row 2 to be zero in the augmented matrix: [1123|32] .
Solve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx.
Solve: {4x3z=53y+2z=73x+4y=6 .
Solve for x,y and z in the matrix equation 4xyz-1=2yz-x1+24x5-x.
15. Reverse the elementary row operations used in Example 2.9 to show that we can convert
Solve for a11, a12, a21 and a22 in the matrix equation a11a12a21a22=6324.
Write the system of equations that corresponds to the augmented matrix: [111423181113] .