An n x n matrix A (with real entries) is called a square root of the n xn matrix B (with real entries) if A? = B. %3D (a) Find a square root of B = [1 (b) Find a square root of B =0 0 0 (c) Find a square root of B = 14.
An n x n matrix A (with real entries) is called a square root of the n xn matrix B (with real entries) if A? = B. %3D (a) Find a square root of B = [1 (b) Find a square root of B =0 0 0 (c) Find a square root of B = 14.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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![An n xn matrix A (with real entries) is called a square
root of the n x n matrix B (with real entries) if A2 = B.
(a) Find a square root of B =
[1
(b) Find a square root of B =
0 0
0 0
(c) Find a square root of B = 14.
(d) Show that there is no square root of
1
B =
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79238ec8-e865-40ff-9e5d-3cc311b8f17b%2F6e1aabe5-ad58-435c-a8ec-448539680203%2F502pctv_processed.png&w=3840&q=75)
Transcribed Image Text:An n xn matrix A (with real entries) is called a square
root of the n x n matrix B (with real entries) if A2 = B.
(a) Find a square root of B =
[1
(b) Find a square root of B =
0 0
0 0
(c) Find a square root of B = 14.
(d) Show that there is no square root of
1
B =
%3D
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