[12 2 2 5 -1 -1 Question 7. Let A 2 1 -1 and B = 3 1 1 1-5 3 AB is both symmetric and skew-symmetric. Show that AB

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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-2 2
5 -1 -1
1 -5 3
Show that AB A'B' is both symmetric and skew-symmetric.
Question 8. Determine the conditions on of a, b, and c such that the following system is consistent.
Question 7. Let A =
12
21
31
and B =
x + y + 3z = a
3x + y +
=
b
x
+ y + -2 =
C
Transcribed Image Text:-2 2 5 -1 -1 1 -5 3 Show that AB A'B' is both symmetric and skew-symmetric. Question 8. Determine the conditions on of a, b, and c such that the following system is consistent. Question 7. Let A = 12 21 31 and B = x + y + 3z = a 3x + y + = b x + y + -2 = C
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Given matrices

A equals open square brackets table row 1 2 0 row 2 1 cell negative 1 end cell row 3 1 1 end table close square brackets space a n d space B equals open square brackets table row cell negative 2 end cell 2 2 row 5 cell negative 1 end cell cell negative 1 end cell row 1 cell negative 5 end cell 3 end table close square brackets

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