Class 12 RD Sharma Solutions- Chapter 5 Algebra of Matrices – Exercise 5.5
Attention reader! All those who say programming isn't for kids, just haven't met the right mentors yet. Join the Demo Class for First Step to Coding Course, specifically designed for students of class 8 to 12.
The students will get to learn more about the world of programming in these free classes which will definitely help them in making a wise career choice in the future.
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.