Express `A` as the sum of a Hermitian and a skew-Hermitian matrix, where `A=[2+3i2 5-3-i7 3-i3-2i i2+i]dot`

Express A as the sun of a hermitian and skew-hermitian matrix,where A=[(2+3_(i),7),(1-i,2_(i))],i=sqrt-1.

Statement 1: Matrix 3xx3,a_(ij)=(i-j)/(i+2j) cannot be expressed as a sum of symmetric and skew- symmetric matrix.Statement 2: Matrix 3xx3,a_(ij)=(i-j)/(i+2j) is neither symmetric nor skew-symmetric

express the following matrices as a sum of symmetric and skew symmetric matrices : (i) [{:(3,-7),(4,2):}]

(3+5i)/(2-3i)

Evaluate sum2^(i) , where i=2, 3, 4, … , 10 .

Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : (i) (2-3i)/(4-i) (ii) (2+3i)/(-5-4i) (iii) (1+i)/(3+i) (iv) (3+2i)/(4-3i)

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)

In the following, perform the indicated operations and write the result in the form x+iy: (i) (7-2i)-(3+2i)+(7+8i) (ii) 3-4i+2i-(8+7i) (iii) (7-2i)-(4+i)+(-3+5i)