Class 12 RD Sharma Solutions- Chapter 5 Algebra of Matrices – Exercise 5.5
From equation (1) and (2) it can be seen that,
A skew-symmetric matrix is a square matrix whose transpose equal to its negative, that is,
X = −XT
So, A − AT is a skew-symmetric.
From equation (1) and (2) it can be seen,
A skew-symmetric matrix is a square matrix whose transpose equals its negative, that is,
X = −XT
Thus, A − AT is a skew-symmetric matrix.
As we know that A = [aij]m×n is a symmetric matrix if aij = aji
x = a13 = a31 = 4
y = a21 = a12 = 2
z = a22 = a22 = z
t = a32 = a23 = −3
Hence, x = 4, y = 2, t = −3 and z can have any value.
Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses
are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out - check it out now!