-5 -19 5 A = 4 В — -19 -4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For what value of c is it true that AB=I ?

c = 

 

 

The image displays two matrices, labeled as \( A \) and \( B \).

Matrix \( A \) is a 2x2 matrix written as:

\[
A = \begin{bmatrix} 
1 & -5 \\ 
4 & -19 
\end{bmatrix}
\]

Matrix \( B \) is also a 2x2 matrix and is represented as:

\[
B = \begin{bmatrix} 
-19 & 5 \\ 
-4 & c 
\end{bmatrix}
\]

In matrix \( B \), the element in the second row and second column is represented by the variable \( c \).
Transcribed Image Text:The image displays two matrices, labeled as \( A \) and \( B \). Matrix \( A \) is a 2x2 matrix written as: \[ A = \begin{bmatrix} 1 & -5 \\ 4 & -19 \end{bmatrix} \] Matrix \( B \) is also a 2x2 matrix and is represented as: \[ B = \begin{bmatrix} -19 & 5 \\ -4 & c \end{bmatrix} \] In matrix \( B \), the element in the second row and second column is represented by the variable \( c \).
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