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Let u € C³, v C4, A = uv". Show that rank(A) ≤ 1.

Let u € C³, v C4, A = uv". Show that rank(A) ≤ 1.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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1. 2. 3. 4. Let u € C³, v C4, A= uv". Show that rank(A) ≤ 1. Let A = -1 3 Find a singular value decomposition of A. 1 0 2 1 . Let A = 0 0 3. Compute e by summing the power series. 000 Consider the quadratic form Q(x₁, 2, 3) = x - x² + 4x² + x₁x₂ − 3x173 +5X2X3. Find all matrices A E M3,3(R) such that Q(x) =< x. Ax>. x = (₁, 12, 13).
Transcribed Image Text:1. 2. 3. 4. Let u € C³, v C4, A= uv". Show that rank(A) ≤ 1. Let A = -1 3 Find a singular value decomposition of A. 1 0 2 1 . Let A = 0 0 3. Compute e by summing the power series. 000 Consider the quadratic form Q(x₁, 2, 3) = x - x² + 4x² + x₁x₂ − 3x173 +5X2X3. Find all matrices A E M3,3(R) such that Q(x) =< x. Ax>. x = (₁, 12, 13).
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