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4. If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric or it is invertible. The matrix is either diagonal or upper triangular. Therefore the matrix is upper triangular.

4. If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric or it is invertible. The matrix is either diagonal or upper triangular. Therefore the matrix is upper triangular.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Pls. answer no.  4 and 5 thank you so much...

IV. Prove the following arguments using the two-column format. For items 3 and 4, represent the arguments into symbols. 1. (n V m) → p (p v q) →r q V n .. r 2. j → k k V i (in ~ j) –→ (m^ ~ j) .. m 3. m → n .. ~ (m V s) If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric or it is 4. invertible. The matrix is either diagonal or upper triangular. Therefore the matrix is upper triangular. 5. Andrew and Bobby always start a fight within their gang. If Andrew began the fight, then Carl would mediate for order and Bobby will start another fight. If Carl would mediate for order, then either Daniel will help him or Elmer heats up the rumble. During one of their clashes, Daniel did not helped Carl (for mediating the order). Therefore, Elmer heated up their rumble.
Transcribed Image Text:IV. Prove the following arguments using the two-column format. For items 3 and 4, represent the arguments into symbols. 1. (n V m) → p (p v q) →r q V n .. r 2. j → k k V i (in ~ j) –→ (m^ ~ j) .. m 3. m → n .. ~ (m V s) If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric or it is 4. invertible. The matrix is either diagonal or upper triangular. Therefore the matrix is upper triangular. 5. Andrew and Bobby always start a fight within their gang. If Andrew began the fight, then Carl would mediate for order and Bobby will start another fight. If Carl would mediate for order, then either Daniel will help him or Elmer heats up the rumble. During one of their clashes, Daniel did not helped Carl (for mediating the order). Therefore, Elmer heated up their rumble.
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