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

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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
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
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