Two matrices are said to be equal if they have the same order and each element of one is equal to the corresponding element of the other.
An m x n matrix A is said to be a square matrix if m = n i.e. number of rows = number of columns.
In a square matrix the diagonal from left hand side upper corner to right hand side lower corner is known as leading diagonal or principal diagonal.
The sum of the elements of a square matrix A lying along the principal diagonal is called the trace of A i.e. tr(A). Thus if A = [aij]n×n, then tr(A) = ∑ni=1 aii = a11 + a22 +......+ ann.
For a square matrix A = [aij]n×n, if all the elements other than in the leading diagonal are zero i.e. aij = 0, whenever i ≠ j then A is said to be a diagonal matrix.
A matrix A = [aij]n×n is said to be a scalar matrix if aij = 0, i ≠ j
= m, i = j, where m ≠ 0
Akash
Last Activity: 4 Years ago
Here we use the property of transpose of matrix
(AA’ + A’A)’ = (AA’)’ + (A’A)’
= AA’ + A’A
Therefore, (AA’+A’A)’ = AA’ + A’A
Hence the given is symmetric matrix
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on engineering entrance exams