If A = [731-2-41591], find (AT)T.

 Exercise 2.2 | Q 6 | Page 46

QUESTION

If A = ${\displaystyle \left[\begin{array}{ccc}7& 3& 1\\ -2& -4& 1\\ 5& 9& 1\end{array}\right]}$, find (A^T)^T.

SOLUTION

A = ${\displaystyle \left[\begin{array}{ccc}7& 3& 1\\ -2& -4& 1\\ 5& 9& 1\end{array}\right]}$

∴ A^T = ${\displaystyle \left[\begin{array}{ccc}7& -2& 5\\ 3& -4& 9\\ 1& 1& 1\end{array}\right]}$

∴ (A^T)^T = ${\displaystyle \left[\begin{array}{ccc}7& 3& 1\\ -2& -4& 1\\ 5& 9& 1\end{array}\right]}$ = A.

Concept: Algebra of Matrices

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board

Chapter 2 Matrices

Exercise 2.2 | Q 6 | Page 46