In Exercises 3-4, verify that the matrices and scalars in Exercise 1 satisfy the stated properties. 3. a. (AT)T = A 4. a. (A + B)¹ = AT + BT b. (AB)¹ = BTAT b. (aC)¹ = aCT

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 10AEXP
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In Exercises 3-4, verify that the matrices and scalars in Exercise 1
satisfy the stated properties.
3. a. (AT)T = A
4. a. (A + B)¹ = AT + BT
b. (AB)¹ = BTAT
b. (aC)¹ = aCT
Transcribed Image Text:In Exercises 3-4, verify that the matrices and scalars in Exercise 1 satisfy the stated properties. 3. a. (AT)T = A 4. a. (A + B)¹ = AT + BT b. (AB)¹ = BTAT b. (aC)¹ = aCT
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