. = a 'a M. Hameed 5 October 2019 Example = - - PowerPoint PPT Presentation

Matrix Inverse size 2x2

• M. A. Hameed

ECSE Department Rensselaer Polytechnic Institute

Intro to ECSE

rows

T

→ column S

Square

• M. Hameed

5 October 2019

Invert A2x2 to determine A-1

𝑩 = 𝑏 𝑐 𝑑 𝑒 𝑩−1 = 1 𝑩 𝑏𝑒𝑘 𝑩 𝑩 = 𝑏𝑒 − 𝑐𝑑 𝑏𝑒𝑘 𝑩 = 𝑒 −𝑐 −𝑑 𝑏 𝑩−1 = 1 𝑏𝑒 − 𝑐𝑑 𝑒 −𝑐 −𝑑 𝑏

→ adjagate

I

I

2x z

=

determinant

• = [

ad÷

a'a÷

÷

÷

.¥

• M. Hameed

5 October 2019 5 October 2019

Example

𝐵 = 1 2 3 4

IAI

=

det CA)

2×2

=

4

• 6

=

• 2

adj CA )

• £43
• I]

A-

'

= I

• i]

= E:

'

* a

=