Let A = -1 413 Find a singular value decomposition of A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Do (q2) only plz
1.
2.
3.
4.
Let u € C³, v E 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 E 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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