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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The image contains handwritten text on a sheet of lined paper. The content appears to discuss a mathematical concept related to matrix multiplication and identity matrices. Here is the transcription of the text:

- \( AB \neq I \) but not \( BA = I \)
- \( BA = I \)
- none of these

Explanation:

1. The first point suggests that the product of matrices \(A\) and \(B\) is not equal to the identity matrix \(I\), but it is not implying that the product of matrices \(B\) and \(A\) equals the identity matrix \(I\).

2. The second point simply states that the product of matrices \(B\) and \(A\) equals the identity matrix \(I\).

3. The third point notes that neither of the above conditions are correct. It implies an option that is different from both of the previously mentioned scenarios.

This text appears to present a multiple-choice question regarding the properties of matrix multiplication and the conditions under which products of matrices yield an identity matrix.
Transcribed Image Text:The image contains handwritten text on a sheet of lined paper. The content appears to discuss a mathematical concept related to matrix multiplication and identity matrices. Here is the transcription of the text: - \( AB \neq I \) but not \( BA = I \) - \( BA = I \) - none of these Explanation: 1. The first point suggests that the product of matrices \(A\) and \(B\) is not equal to the identity matrix \(I\), but it is not implying that the product of matrices \(B\) and \(A\) equals the identity matrix \(I\). 2. The second point simply states that the product of matrices \(B\) and \(A\) equals the identity matrix \(I\). 3. The third point notes that neither of the above conditions are correct. It implies an option that is different from both of the previously mentioned scenarios. This text appears to present a multiple-choice question regarding the properties of matrix multiplication and the conditions under which products of matrices yield an identity matrix.
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