Determine the square-root matrix A ^ 1/2, using the matrix A in Exercise 2.3. Also, determine A ^ -1/2, and show that A ^ 1/2 * A ^ -1/2 = A ^ -1/2 * A ^ 1/ 2 = I.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.3: Add And Subtract Integers
Problem 1.81TI: Subtract: (a) 64 (b) 6(4) .
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Determine the square-root matrix A ^ 1/2, using the matrix A in Exercise 2.3. Also, determine A ^ -1/2, and show that A ^ 1/2 * A ^ -1/2 = A ^ -1/2 * A ^ 1/ 2 = I.

2
А
1
1
B =
4 2
4
and C =
2
Transcribed Image Text:2 А 1 1 B = 4 2 4 and C = 2
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