Q11: a b c Let de 9 ● a d f = 7, find the determinants hi b C e f 3g 3h 3i a+d be c+f d f 9 Compute e h 1-3 1 -2 2 -5 -1 -2 0-4 5 1 -3 10 -6 8 in as few steps as possible. Let A be an n x n matrix such that A² = I. Show that det A = ±1.

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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Q11:
a b c
Let de f = 7, find the determinants
9
hi
●
b
C
e
f
3g 3h 3i
a
d
a+d be
d
9
● Compute
e
h
c+f
f
1-3
1 -2
2 -5 -1 -2
0-4 5 1
-3 10 -6 8
in as few steps
as possible.
Let A be an n x n matrix such that A² = I.
Show that det A = ±1.
Show that if A is invertible, then
det A-¹ = det A
1
Transcribed Image Text:Q11: a b c Let de f = 7, find the determinants 9 hi ● b C e f 3g 3h 3i a d a+d be d 9 ● Compute e h c+f f 1-3 1 -2 2 -5 -1 -2 0-4 5 1 -3 10 -6 8 in as few steps as possible. Let A be an n x n matrix such that A² = I. Show that det A = ±1. Show that if A is invertible, then det A-¹ = det A 1
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