7. Suppose A = AT is a symmetric n x n matrix with all real entries. Explain why A = BTB for some n x n matrix B (possibly with complex entries). 3 -6 0 I Compute a value for B when A = -6 0 6 0 6 -3
7. Suppose A = AT is a symmetric n x n matrix with all real entries. Explain why A = BTB for some n x n matrix B (possibly with complex entries). 3 -6 0 I Compute a value for B when A = -6 0 6 0 6 -3
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 80E
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![7. Suppose A = AT is a symmetric n x n matrix with all real entries.
Explain why A = BTB for some n x n matrix B (possibly with complex entries).
3
-6 0
I
Compute a value for B when A =
-6
0
6
0
6
-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb8b5d1e-b053-413f-8caa-c0d18d33c0c4%2Fbb5714f2-b759-4787-8ccf-45f8e009fc83%2F9kj8ao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Suppose A = AT is a symmetric n x n matrix with all real entries.
Explain why A = BTB for some n x n matrix B (possibly with complex entries).
3
-6 0
I
Compute a value for B when A =
-6
0
6
0
6
-3
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb8b5d1e-b053-413f-8caa-c0d18d33c0c4%2Fbb5714f2-b759-4787-8ccf-45f8e009fc83%2Fkmsh6fn_processed.jpeg&w=3840&q=75)
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