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Additive identity of the Complex number
The complex number 0 + i0 is the additive identity for the set of complex numbers. 0 + i0 is called the additive identity for the complex number. Z + (0 + i 0 ) = a + i b + (0 + i 0) = (a + 0) + i (b + 0) = a + i..
Factorisation using Identities
Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..
Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..Multiplicative identity of Complex numbers
Let Z = a + i b and Z' = x + iy, then ax - by = a ..... (i) and ay + bx = b ..... (ii) Solving (i) and (ii), we have x = 1, y =0 Multiplicative identity is 1 + ..
Let Z = a + i b and Z' = x + iy, then ax - by = a ..... (i) and ay + bx = b ..... (ii) Solving (i) and (ii), we have x = 1, y =0 Multiplicative identity is 1 + ..
Factorisation using the identity
which can be reduced to this form. Let us consider some exampl..
which can be reduced to this form. Let us consider some exampl..
Types of Matrices
Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Identity or Unit Matrix, Null Matrix or Zero Matr..
Algebraic Properties of set operations
The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Law..
Inverse of a Square Matrix
Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the identity matrix of order n, then the matrix A is said to be invertible and B is called the inverse (or reciprocal) of ..
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