If matirx a is called symmetric if at=a. verify for all 3×3 matirices b+bt is symmetric

Step-by-step explanation:

Given that B is 3x3 matrix.

To prove that B+B^T is symmetry

We know B Transpose matrix will be the matrix got by interchanging the rows and columns of B.

When we interchange rows and columns, we find diagonals remain in the same position

In other words, if i =j

When we add B with B transpose we add diagonal elements twice

and other elements aij with aji for each of the other entry.

Diagonal elements will not pose a problem now when the sum matrix is transposed

B+BT will have ijth entry as =

i.e. the matrix have to be symmetrical

b

step-by-step explanation:

the word superfluous means unnecessary

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!