1. Find A-¹ by using the formula [a11 a12 a21 a22 A = 2. Row-reduce ● ⇒A-1 substitute R₁ A = Perform the following operation on [A1] Keep R₁ and substitute R₂-→ R₂ + R₁ → 1 -a12 a22 a11922 a12@21 -a21 a11 • (2 Keep R₂ and substitute R₁ →→2R₁ + R₂ 1 -1 [4|7] = [¹ 4341 -1 -1 0 R₁, and substitute R2 →→ -R₂, with a11a22-a12a21 6= 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Find A-¹ by using the formula
[a11 a12
a21 a22
A =
2. Row-reduce
●
⇒A-¹
substitute R₁
A =
Perform the following operation on [A1]
Keep R₁ and substitute R₂-→ R₂ + R₁
→
1
-a12
a22
a11922 a12@21 -a21 a11
1
-1
[4|7] = [¹
• (2 Keep R₂ and substitute R₁ →→ 2R₁ + R₂
-1 -1
R₁, and substitute R2 → -
1
0
-R₂,
외
with
a11a22-a12a21 6= 0
Transcribed Image Text:1. Find A-¹ by using the formula [a11 a12 a21 a22 A = 2. Row-reduce ● ⇒A-¹ substitute R₁ A = Perform the following operation on [A1] Keep R₁ and substitute R₂-→ R₂ + R₁ → 1 -a12 a22 a11922 a12@21 -a21 a11 1 -1 [4|7] = [¹ • (2 Keep R₂ and substitute R₁ →→ 2R₁ + R₂ -1 -1 R₁, and substitute R2 → - 1 0 -R₂, 외 with a11a22-a12a21 6= 0
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