00:01
In this question we have to decompose the tensor into its symmetric and anti -symmetric ports.
00:07
Given tensor, t which is equal to 2, 6, negative 2, negative 3, 3, 4, 1.
00:20
Transpose of t is t transpose.
00:32
So, t transpose which is equal to, we take the transpose, we get 2, negative 3, 1, 6, 3, 4, and negative to 4, 1.
00:47
Now, we want to find the symmetric value.
00:51
So, t add with t transpose which divided by 2, which is equal to 1, which divided by 2, which multiply by t value which is 2, 6, negative 2, negative 3, 3, 4, negative 1, 2, 2, 2, 2, 2, 2, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0 ,000, 2, 2, 0 ,000, 2, 2, 0 ,000, 0 ,000, 0 ,000, 6, 8, negative 3 8 2 taking transpose and we get the same value so which is the symmetric matrix next we want to find the anti -symmetric t subtracting t transpose which divided by 2 which is equal to 1 which divided by 2 which multiply by 2 6 negative 2 negative 2 negative 3 3 4 negative 1 4 1 subtracting 2 2 negative 3 3 1, 6, 3, 4, negative to 4, 1...