number with 21 zeros


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Some properties of Addition and Subtraction of Matrices
(1) A + B = B + A (Commutative property) (2) k(A + B) = kA + kB (Distributive property) (3) (A + B) + C = A + B + C (Distributive property) (4) (A + B) + C = A + (B + C) (Associative property) A + O = O + A = A where O is zero or null matrix. A = A + O (5) A + (-A) = O (-A is additive inv..
Null Matrix or Zero Matrix
A matrix of order m x n whose elements are all 0 is called a null matrix (or zero matrix) of order m x n. It is usually denoted by O or more clearly [O] m , n..
Composite number
It has factors other than one and itself, e.g., 21 is a composite number..
Statement
If p(x), a polynomial in x is divided by x-a and the remainder = f (a) is zero, then (x-a) is a factor of p(..
Complex Numbers
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following are the types of compl..
Case II:
If D = 0 and D 1 , D 2 and D 3 are not all zero, then the system is inconsistent, that is the system has no solutio..
Properties of Symmetric and Skew Symmetric Matrices
1. A square matrix A is said to be skew-symmetric if A ' = -A. 2. The diagonal elements of a skew-symmetric matrix are all zero..
Factor theorem
If p(x) is a polynomial in x and is divided by and the remainder = f(a) is zero then (x-a) is a factor of p(x..
Summary
1. We use specific number of digits to denote the value of a number to a certain degree of accuracy. 2. For a number between 0 and 1, the successive zeros after the decimal are not significant. 3. For a number with a decimal point,..
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