13 2 1
The matrix A= 4 5 6 is expressed as the sum of a symmetric and a skew symmetric matrix.
7 8 9
Then the symmetric matrix formed is
6
8
13 3 4
(a) 6 10 14
141 (b)
(b) 3 5 7
8 14 18 14 7 9
0
0
Answers
Answer:
The matrix A= 4 5 6 is expressed as the sum of a symmetric and a skew symmetric matrix.
7 8 9
Then the symmetric matrix formed is
6
8
13 3 4
(a) 6 10 14
141 (b)
(b) 3 5 7
8 14 18 14 7 9
0
0.
8383+38+383+84+484+384+83+383+383+8₹jdbdudn
The matrix A= 4 5 6 is expressed as the sum of a symmetric and a skew symmetric matrix.
7 8 9
Then the symmetric matrix formed is
6
8
13 3 4
(a) 6 10 14
141 (b)
(b) 3 5 7
8 14 18 14 7 9
0
0
Answer:
linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal.
Square matrix A is said to be skew-symmetric if aij =−aji for all i and j. In other words, we can say that matrix A is said to be skew-symmetric if transpose of matrix A is equal to negative of matrix A i.e (AT =−A). Note that all the main diagonal elements in the skew-symmetric matrix are zero.
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