Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2 matrices R2 = 1 0 (0 1 0 0 0 0.. 100 0 0 0.. 0 0 0 1 0 0... 0 0 10 0 0... 0 0 0 0 0 1.. 0 0 0 0 1 0... An Compute the determinant of this matrix when n = 554311. Is the determinant positive or negative?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks
1
of 2 x 2 matrices R2 = ( 0)
0 1 0 0 0 0..
10 0 0 0 0...
0 0 0 1 0 0...
0 0 1 0 0 0...
0 0 0 0 0 1...
0 0 0 0 1 0...
An =
Compute the determinant of this matrix when n = 554311. Is the determinant
positive or negative?
O Determinant3D554311 (positive)
Determinant=-554311 (negative)
O Determinant=1, (positive)
O Determinant=-1, (negative)
2
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Transcribed Image Text:Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks 1 of 2 x 2 matrices R2 = ( 0) 0 1 0 0 0 0.. 10 0 0 0 0... 0 0 0 1 0 0... 0 0 1 0 0 0... 0 0 0 0 0 1... 0 0 0 0 1 0... An = Compute the determinant of this matrix when n = 554311. Is the determinant positive or negative? O Determinant3D554311 (positive) Determinant=-554311 (negative) O Determinant=1, (positive) O Determinant=-1, (negative) 2 Need 100 percent perfect answer in 10 minutes.l promise i will rate positive. Just answer needed
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