5. Given 5 3 6 A 4 = (₁ 2), B = (2₂²), C = (1 3) (4 ,C= Solve the following matrix equation. XA+B=C.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
5. Given
5 3
3 2
Solve the following matrix equation.
(a) A¹ (A I)
(b) (4)
A-1
A =
(c) (A 1) (AI)
(d) (A_ I) (A 1)T
B
7. Let B = AT A. Show that bij
=
6. Let A be a nonsingular n × n matrix and I is an n x n identity matrix. Perform the following
multiplications:
6 2
2
alaj.
₂ c = (²46
C
XA + B = C.
-2
-6 3
Transcribed Image Text:5. Given 5 3 3 2 Solve the following matrix equation. (a) A¹ (A I) (b) (4) A-1 A = (c) (A 1) (AI) (d) (A_ I) (A 1)T B 7. Let B = AT A. Show that bij = 6. Let A be a nonsingular n × n matrix and I is an n x n identity matrix. Perform the following multiplications: 6 2 2 alaj. ₂ c = (²46 C XA + B = C. -2 -6 3
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